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Recent problems solved by 'stanbon'

stanbon answered: 57222 problems
Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319 , 1320..1349 , 1350..1379 , 1380..1409 , 1410..1439 , 1440..1469 , 1470..1499 , 1500..1529 , 1530..1559 , 1560..1589 , 1590..1619 , 1620..1649 , 1650..1679 , 1680..1709 , 1710..1739 , 1740..1769 , 1770..1799 , 1800..1829 , 1830..1859 , 1860..1889 , 1890..1919 , 1920..1949 , 1950..1979 , 1980..2009 , 2010..2039 , 2040..2069 , 2070..2099 , 2100..2129 , 2130..2159 , 2160..2189 , 2190..2219 , 2220..2249 , 2250..2279 , 2280..2309 , 2310..2339 , 2340..2369 , 2370..2399 , 2400..2429 , 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56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149 , 57150..57179 , 57180..57209 , 57210..57239, >>Next

Probability-and-statistics/647898: Let x = red blood cell (RBC) count in millions per cubic millimeter of whole blood. Suppose that for healthy females, x has an approximately normal distribution with mean (weird looking u symbol) = 4.1 and standard deviation (weird looking o symbol) = 0.7. Convert the following z interval to an x interval.z < 2.9 Answer a. x>6.13 b. x>-6.13 c. x<-6.13 d. x>-2.07 e. x<6.13 Could someone please show me how to solve this problem? 1 solutions Answer 406451 by stanbon(57290)   on 2012-09-08 20:18:45 (Show Source): You can put this solution on YOUR website! Let x = red blood cell (RBC) count in millions per cubic millimeter of whole blood. Suppose that for healthy females, x has an approximately normal distribution with mean (weird looking u symbol) = 4.1 and standard deviation (weird looking o symbol) = 0.7. Convert the following z interval to an x interval.z < 2.9 ------ You are given u = 4.1 and s = 0.7 and z = 2.9 --- The formula that relates x and z is x = z*s + u Substitute and solve for "x": x = 2.9*0.7 + 4.1 = 6.13 --- Ansswer: x > 6.13 ======================== Cheers, Stan H. ======================== Answer a. x>6.13 b. x>-6.13 c. x<-6.13 d. x>-2.07 e. x<6.13

Miscellaneous_Word_Problems/647907: It is an odd number. The sum of the digits is 6. The product of the digits is 9. 1 solutions Answer 406448 by stanbon(57290)   on 2012-09-08 20:13:33 (Show Source): You can put this solution on YOUR website! It is an odd number. The sum of the digits is 6. The product of the digits is 9. ------- I'm going to assum it is a 2-digit number: Let the number be 10t + u ----- Equations: t + u = 6 tu = 9 ----- t = 6-u --- (6-u)u = 9 6u-u^2 = 9 u^2 -6u + 9 = 0 Factor: (u-3)(u-3) = 0 u = 3 --- Solve for "t": t + u = 6 t + 3 = 6 t = 3 --- The number is 33 ===================== Cheers, Stan H. =====================

Polynomials-and-rational-expressions/647901: Please help me simply the expression: (12x^2y/3z^4)(-21x^2z^3/12y^2) I need to know the steps and answer. Please help! 1 solutions Answer 406447 by stanbon(57290)   on 2012-09-08 20:09:35 (Show Source): You can put this solution on YOUR website! simplify the expression: (12x^2y/3z^4)(-21x^2z^3/12y^2) --------- 1st: Simplify each fraction by canceling common factors: --------- = (4x^2y/z^4)(-7x^2z^3/4y^2) 2nd Cancel any factor common to a numerator and a denominator: --------- = (1*x^2*1/z)(-7*x^2*1/(1*y) --------- = (-7x^4)/(yz) ==================== Cheers, Stan H. ====================

Permutations/647857: Can you help me write the following expression without using the factorial symbol?: (n-4)!/(n-2)! thank you 1 solutions Answer 406439 by stanbon(57290)   on 2012-09-08 18:36:12 (Show Source): You can put this solution on YOUR website! Can you help me write the following expression without using the factorial symbol?: (n-4)!/(n-2)! ----- [(n-4)(n-3)(x-2)!]/(n-2)! = (n-4)(n-3) = n^2 -7n + 12 ================================ Cheers, Stan H. ====================

Average/647863: Charlie must take four exams in his finite math class. His scores on his first three exams are 91, 77, and 83. What must he score on his fourth exam if he wants his overall mean to be at least 80? 1 solutions Answer 406437 by stanbon(57290)   on 2012-09-08 18:33:14 (Show Source): You can put this solution on YOUR website! His scores on his first three exams are 91, 77, and 83. What must he score on his fourth exam if he wants his overall mean to be at least 80? --------- Solve: (91 + 77 + 63 + x)/4 >= 80 ---- (231+x) >= 320 x >= 89 ======================= Cheers, Stan H. =======================

Travel_Word_Problems/647843: The revenue and cost equations for a product are R=x(50-0.0002x) and C=12x+150,000 where R and C are measured in dollars and x represents the number of units sold. How many units must be sold be obtain a profit of at least $1,650,000? 1 solutions Answer 406435 by stanbon(57290)   on 2012-09-08 18:29:09 (Show Source): You can put this solution on YOUR website! The revenue and cost equations for a product are R=x(50-0.0002x) and C=12x+150,000 where R and C are measured in dollars and x represents the number of units sold. How many units must be sold be obtain a profit of at least $1,650,000? --------------------- Profit = Revenue - Cost P = x(50-0.0002x)-(12x+150,000) ---- P = 50x - 0.0002x^2 - 12x - 150000 ----- P(x) = -0.0002x^2 + 38x -150000 ---- Solve: -0.0002x^2 + 38x -150000 >= 1650000 ------- etc. =============== Cheers, Stan H. =================

Miscellaneous_Word_Problems/647822: Hello. I would like to ask you two questions... What percent of 23 is 14? And, I would also like to ask you to find a number so that 2% of it is 128. Answer ASAP! Thank you! 1 solutions Answer 406425 by stanbon(57290)   on 2012-09-08 17:59:34 (Show Source): You can put this solution on YOUR website! What percent of 23 is 14? And, I would also like to ask you to find a number so that 2% of it is 128. --------------------------- x/100 = 14/23 ---- x = 100(14/23) --- x = 60.87 --- Answer: 60.87% ======================= Find a number so that 2% of it is 128. Let the number be "x": 0.02x = 128 --- x = 128/0.02 ---- x = 6400 ================== Cheers, Stan H.

Equations/647819: please please help me do this last problem using a tree diagram You have two spinners,each with black, white and gray sections. The gray section is twice as large as the black or white section. If you spin them both,what is the chance that one will come up black and one gray?Show your work by drawing a tree diagram,then indicating which ones satify the experimental conditions. Please help 1 solutions Answer 406405 by stanbon(57290)   on 2012-09-08 17:05:05 (Show Source): You can put this solution on YOUR website! You have two spinners,each with black, white and gray sections. The gray section is twice as large as the black or white section. ----- For each spinner: p(gray) = 1/2 ; P(white) = 1/4 ; P(black) = 1/4 -------------------------------------- If you spin them both,what is the chance that one will come up black and one gray? P(black on one and gray on other) = (1/4)(1/2) = 1/8 ------------------------------------------------------- Show your work by drawing a tree diagram,then indicating which ones satify the experimental conditions. ------------------------------ Tree diagram: 1st column: gray ; black ; white ; gray --- 2nd column to the right of each of the four 1st column elements, list the 4 elements gray/glack/white/gray To get the probability of black/gray notice that you have 2 (black,gray) pairs out of a total of 16 pairs. So Probability of black/gray = 2/16 = 1/8 ============================================ Cheers, Stan H.

Numeric_Fractions/647820: A.berto rode 5/8 of the water rides at a water park. His sister rode half of the rides that Alberto rode. What fraction of water rides did she not ride? 1 solutions Answer 406400 by stanbon(57290)   on 2012-09-08 16:53:06 (Show Source): You can put this solution on YOUR website! A.berto rode 5/8 of the water rides at a water park. His sister rode half of the rides that Alberto rode. What fraction of water rides did she not ride? ----- Ans: (1/2)(5/8) = 5/16 ======================== Cheers, Stan H.

Probability-and-statistics/647788: An executive at Hughes drives from his home to work every day. The driving times are normally distributed with a mean of 35 minutes and a standard deviation of 8 minutes. a. In what percent of the days will it take him 30 or fewer minutes to reach his office? b. What percent of the days will it take between 40 and 50 minutes? c. What percent of days will it take him between 30 and 45 minutes? d. How long will the longest 10% of the trips take? 1 solutions Answer 406399 by stanbon(57290)   on 2012-09-08 16:50:53 (Show Source): You can put this solution on YOUR website! An executive at Hughes drives from his home to work every day. The driving times are normally distributed with a mean of 35 minutes and a standard deviation of 8 minutes. a. In what percent of the days will it take him 30 or fewer minutes to reach his office? ------ z(30) = (30-35)/8 = -5/8 P(x <= 30) = P(z <= -5/8) = normalcdf(-100,-5/8) = 0.2660 = 26.60% ================== b. What percent of the days will it take between 40 and 50 minutes? Find the z-scores. Find the percentage between those z-scores. ================================================ c. What percent of days will it take him between 30 and 45 minutes? Same procedure as on "b". ============================ d. How long will the longest 10% of the trips take? Find the z-value with a left tail of 0.90 invNorm(0.9) = 1.2815 ------ x = zs + u x = 1.2815*8+35 = 45.25 ================================ Cheers, Stan H.

Equations/647811: how do i write d=630h in function notation 1 solutions Answer 406394 by stanbon(57290)   on 2012-09-08 16:26:03 (Show Source): You can put this solution on YOUR website! write d=630h in function notation --- It is in function notation. d(h) = 630h =============== Cheers, Stan H. ===============

Linear-equations/647812: Solve each equation 5-10|8n+5|=-45 1 solutions Answer 406393 by stanbon(57290)   on 2012-09-08 16:24:21 (Show Source): You can put this solution on YOUR website! 5-10|8n+5|=-45 ----- -10|8n+5| = -50 ---- |8n+5| = 5 ---- 8n + 5 = 5 or 8n+5 = -5 8n = 0 or 8n = -10 n = 0 or n = -5/4 ====================== Cheers, Stan H. ==============

Evaluation_Word_Problems/647807: Water covers 70.8%, or about 365×106 km2, of the earth's surface. Approximate the total surface area of the earth. (Round your answer to the nearest million.) 1 solutions Answer 406392 by stanbon(57290)   on 2012-09-08 16:21:53 (Show Source): You can put this solution on YOUR website! Water covers 70.8%, or about 365×106 km2, of the earth's surface. Approximate the total surface area of the earth. (Round your answer to the nearest million.) ---- Let x be the total surface of the earth. ---- Equation: 0.708x = 365x10^6 x = 5.155x10^8 ---- Cheers, Stan H.

Age_Word_Problems/647801: a mother is presently 5 years older than twice her daughter's sge. 10 years ago the product of the mother and daughter's age was equal to 125.What is the mom's age? 1 solutions Answer 406390 by stanbon(57290)   on 2012-09-08 16:15:02 (Show Source): You can put this solution on YOUR website! a mother is presently 5 years older than twice her daughter's sge. 10 years ago the product of the mother and daughter's age was equal to 125.What is the mom's age? ----------- Equations: m = 2d + 5 (m-10)(d-10) = 125 ------------- Substitute for "m" and solve for "d: (2d+5-10)(d-10) = 125 -------------- (2d-5)(d-10) = 125 2d^2-25d+50-125 = 0 --- 2d^2 - 25d -75 = 0 ----- (d-15)(2d+5) = 0 d = 15 (daughter's age) --- m = 2d+5 = 35 (mom's age) =============================== Cheers, Stan H.

Signed-numbers/647804: -5+27+-60+2= I dont understand how to solve this 1 solutions Answer 406383 by stanbon(57290)   on 2012-09-08 16:01:11 (Show Source): You can put this solution on YOUR website! -5+27+-60+2 --------------- = -5-60+27+2 ----- = -65+29 --- = -36 ============= Cheers, Stan H. ============

Probability-and-statistics/647523: The heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard deviation 3 inches. What is the probability that the height of an 18-year-old man selected at random is between 64 inches and 66 inches. a. .1597 b. .2017 c. .3677 d. .8403 e. .3403 If possible please show me how the problem is solved so maybe I can figure out as well 1 solutions Answer 406272 by stanbon(57290)   on 2012-09-07 19:55:06 (Show Source): You can put this solution on YOUR website! The heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard deviation 3 inches. What is the probability that the height of an 18-year-old man selected at random is between 64 inches and 66 inches. --- When you need to measure propability or percentage, you need to use the z-scale. --- z(64) = (64-68)/3 = -1.3333 z(66) = (66-68)/3 = -0.6667 ---- P(64 <= x <= 66) = P(-1.33 <= z <= -0.67) = normalcdf(-1.3333,-0.6667) = 0.1613 ============================ Cheers, Stan H. ============================== a. .1597 b. .2017 c. .3677 d. .8403 e. .3403

Probability-and-statistics/647522: A psychologist studied self-esteem scores and found the sample data set to be normally distributed with a mean of 50 and a standard deviation of 5. Part A**What raw score cuts off the bottom 10.03% of this distribution? Steps: What is the z-score that cuts off the bottom 10.03% of this distribution? What is the raw score that cuts off the bottom 10.03% of this distribution? Part B**What percentage of the scores is between 57.5 and 65? Steps: What is the z-score that corresponds to the raw score of 57.5? What is the z-score that corresponds to the raw score of 65? What percentage of the scores is between 57.5 and 65? Part C:**A raw score of 35 is associated with what percentile? Steps: What is the z-score associated with a raw score of 35? A raw score of 35 is associated with what percentile? Part D:**What raw scores mark the middle 34% of this distribution? Steps: What are the z-scores that mark the middle 34% of this distribution? The z-score below the mean is The z-score above the mean is What is the raw score below the mean? 1 solutions Answer 406270 by stanbon(57290)   on 2012-09-07 19:46:28 (Show Source): You can put this solution on YOUR website! A psychologist studied self-esteem scores and found the sample data set to be normally distributed with a mean of 50 and a standard deviation of 5. Part A**What raw score cuts off the bottom 10.03% of this distribution? Steps: What is the z-score that cuts off the bottom 10.03% of this distribution? z = invNorm(0.1003) = -1.280 What is the raw score that cuts off the bottom 10.03% of this distribution? x = zs + u x = -1.280*5 + 50 = 43.6 ======================================== Part B**What percentage of the scores is between 57.5 and 65? Steps: What is the z-score that corresponds to the raw score of 57.5? z(57.5) = (57.5-50)/5 = 1.5 --------------------------------- What is the z-score that corresponds to the raw score of 65? z(65) = (65-50)/5 = 3 --- What percentage of the scores is between 57.5 and 65? P(57.5<= x <=65) = P(1.5<= z <=3) = 0.0655 = 6.55% ------------------------------------------------------ Part C:**A raw score of 35 is associated with what percentile? Steps: What is the z-score associated with a raw score of 35? z(35) = (35-50)/5 = -15/5 = -3 ------------------------------------- A raw score of 35 is associated with what percentile? P(z < -3) = normalcdf(-100,-3) = 0.0013 = 0.13% ------------------------------------------------------ Part D:**What raw scores mark the middle 34% of this distribution? Steps: What are the z-scores that mark the middle 34% of this distribution? The z-score below the mean is z = invNorm(.50-0.17) = -0.44 ---- The z-score above the mean is +0.44 --- What is the raw score below the mean? x = -0.44*5+50 = 47.8 =========================== Cheers, Stan H. ========================

Human-and-algebraic-language/647517: kaari is taller than elane the difference between the height is 20 cn . kaari's height times 8 is equal to 9 times elane's height. What are their heights 1 solutions Answer 406267 by stanbon(57290)   on 2012-09-07 19:29:28 (Show Source): You can put this solution on YOUR website! kaari is taller than elane the difference between the height is 20 cn . kaari's height times 8 is equal to 9 times elane's height. What are their heights ---- Equations: k - e = 20 cm 8k = 9e ---- Substitute for "k" and solve for "e": k = 20+e --- 8(20+e) = 9e 160 + 8e = 9e e = 160 cm (Elane's height) ----- Solve for "k": k = 20 + e k = 180 cm (Kaari's height) ================= Cheers, Stan H. ==============

Human-and-algebraic-language/647519: a t shirt and a pair of socks cost 12.70$ if 2 pairs of socks cost 1.45$ less than one t shirt. how much does the t shirt cost 1 solutions Answer 406264 by stanbon(57290)   on 2012-09-07 19:25:42 (Show Source): You can put this solution on YOUR website! a t shirt and a pair of socks cost 12.70$ if 2 pairs of socks cost 1.45$ less than one t shirt. how much does the t shirt cost ---- Equations: t + s = 12.70 2s = t-1.45 ------ Rearrange: t + s = 12.70 t - 2s = 1.45 ------------------ Subtract and solve for "s": 3s = 11.25 ----- s = $3.75 (price of a pair of socks) ----- Solve for "t": t + s = 12.70 t + 3.75 = 12.70 t = 8.95 (price of one t-shirt) =================== Cheers, Stan H.

Reduction-of-unit-multipliers/647406: A hose fills a hot tub at a rate of 3.2 gallons per minute. How many hours will it take to fill a 300-gallon hot tub? 1 solutions Answer 406177 by stanbon(57290)   on 2012-09-07 14:14:51 (Show Source): You can put this solution on YOUR website! A hose fills a hot tub at a rate of 3.2 gallons per minute. How many hours will it take to fill a 300-gallon hot tub? ------- Equation: hours/gallons = hours/gallons x/300 = (1/60)/3.2 ---- x = 5/3.2 --- x = 1.56 hours = 1 hr 33 min 36 seconds ======================= Cheers, Stan H.

Travel_Word_Problems/647405: A train travels 500 miles in 3.5 hours. how far can it travel in 40 minutes? 1 solutions Answer 406175 by stanbon(57290)   on 2012-09-07 14:07:19 (Show Source): You can put this solution on YOUR website! A train travels 500 miles in 3.5 hours. how far can it travel in 40 minutes? ------ distance = rate*time ---- d = [(2/3)hr] ----- distance = 95.24 miles ============================ Cheers, Stan H. =============

Parallelograms/647401: the measure of two adjacent angles of a parallelogram are in the ratio 5:4.find the measure of each of the angles of the parallelogram 1 solutions Answer 406172 by stanbon(57290)   on 2012-09-07 14:03:52 (Show Source): You can put this solution on YOUR website! the measure of two adjacent angles of a parallelogram are in the ratio 5:4.find the measure of each of the angles of the parallelogram ------- The sum of 2 adjacent angles of a parallelogram is 180 degrees. ------- Equation: The angles are 5x and 4x. ---- 5x + 4x = 180 degrees 9x = 180 x = 20 ---- 5x = 100 degrees 4x = 80 degrees ================== Cheers, Stan H. ==================

Numbers_Word_Problems/647389: The sum of two numbers is 16. If one number is three times another number, what is the larger number? 1 solutions Answer 406169 by stanbon(57290)   on 2012-09-07 13:57:12 (Show Source): You can put this solution on YOUR website! The sum of two numbers is 16. If one number is three times another number, what is the larger number? ------- Equations: x + y = 16 x = 3y ----- Substitute for "x" and solve for "Y". ----- 3y + y = 16 4y = 16 y = 4 ---- Solve for "x": x = 3y x = 3*4 = 12 =================== Cheers, Stan H. ======================

Percentage-and-ratio-word-problems/647390: How do you write 69% as a fraction in simplist form? 1 solutions Answer 406168 by stanbon(57290)   on 2012-09-07 13:54:24 (Show Source): You can put this solution on YOUR website! How do you write 69% as a fraction in simplist form? --- 69% = 69/100 = 0.69 ======================= Cheers, Stan H. =======================

logarithm/647399: Please help me solve this equation: ln (5/Y) = 3 1 solutions Answer 406165 by stanbon(57290)   on 2012-09-07 13:51:45 (Show Source): You can put this solution on YOUR website! solve this equation: ln (5/Y) = 3 ---- base = e = 2.718... ln = exponent = 3 result = 5/Y ------- Equation: 5/Y = e^3 5/Y = 20.09 Y = 5/20.09 Y = 2.49.. Cheers, Stan H. ============

Travel_Word_Problems/647398: If it takes 3 hours to travel to Dallas, TX a total trip of 192 miles. How fast was the driver going? 1 solutions Answer 406164 by stanbon(57290)   on 2012-09-07 13:47:10 (Show Source): You can put this solution on YOUR website! If it takes 3 hours to travel to Dallas, TX a total trip of 192 miles. How fast was the driver going? ---- rate = distance/time --- rate = 192/3 = 64 mph =========================== Cheers, Stan H. =============

Polynomials-and-rational-expressions/647391: Hey, I've tried this problem a few times. I think I may have gotten it when I added the 0x's. Please let me know what I'm doing wrong. It's long division. This is on the outside: this is on the inside: This is how I worked it: Outside: Inside: My answer: When I preview it my answer shows only 65 divided by x^2 but it is 12x - 65 over x^2 +4. The question is in there right though! Thank you! Carrie 1 solutions Answer 406163 by stanbon(57290)   on 2012-09-07 13:45:25 (Show Source): You can put this solution on YOUR website! It's long division. This is on the outside: this is on the inside: This is how I worked it: Outside: Inside: --------- Dividing by x^2 + 4 you get 3x^2 Multiplying 3x^2(x^2+4) you get 3x^4+12x^2 which you place in appropriate columns ---- Sutractiing you get x^3-12x^2 + 4x - 33 -------- Dividing by x^2 + 4 you get x Multiplying x(x^2+4) you get x^3+4x ------- Subtracting you get -12x^2 - 33 -------- Dividing by x^2+4 you get -12 Multiplying -12(x^2+4) you get -12x^2-48 -------- Subtracting you get +15 That is the Remainder. ================================ Cheers, Stan H. ================

Travel_Word_Problems/647320: If I am chasing someone and step for step I am right behind I have no chance of coming up even with him. So why is it that if I run at a forty-five degree angle from his angle of direction, I am eventually able to come up even with him, even though at a distance from him? We walked the distance and it works in practice. 1 solutions Answer 406127 by stanbon(57290)   on 2012-09-07 09:08:37 (Show Source): You can put this solution on YOUR website! If I am chasing someone and step for step I am right behind I have no chance of coming up even with him. So why is it that if I run at a forty-five degree angle from his angle of direction, I am eventually able to come up even with him, even though at a distance from him? We walked the distance and it works in practice. ----- If he walks 10 feet you will walk 10(sqrt(3)/2) = 10*0.86 = 8.6 ft. ================== You will not be "even with him". Cheers, Stan H.

Numbers_Word_Problems/647327: the product of three numbers is 42 one number is 3 and the other is 2 what is the third number? 1 solutions Answer 406125 by stanbon(57290)   on 2012-09-07 09:02:55 (Show Source): You can put this solution on YOUR website! the product of three numbers is 42 one number is 3 and the other is 2 what is the third number? ---- Eqution: Let the 3rd number be "x". 3*2*x = 42 6x = 42 x = 7 ============ Cheers, Stan H. ===========

test/647294: Find the leas common multiple(LCM)of the following numbers 27,45,153. I came up with 2295. Is that correct? 1 solutions Answer 406123 by stanbon(57290)   on 2012-09-07 09:01:11 (Show Source): You can put this solution on YOUR website! Find the leas common multiple(LCM)of the following numbers 27,45,153. I came up with 2295. Is that correct? ---------- 27 = 3^3 45 = 3^2*5 153 = 3^2*17 ---- LCM must have all the prime factors in their highest power: --- LCM = 3^3*5*17 = 2295 ========== You are correct. ============== Cheers, Stan H.

Polynomials-and-rational-expressions/647322: why is x8 and x2 x6 and not x 4 1 solutions Answer 406115 by stanbon(57290)   on 2012-09-07 08:38:02 (Show Source): You can put this solution on YOUR website! why is x8 and x2 x6 and not x 4 ----- x^8/x^2 = (xxxxxxxx)/(xx) --- 2 of the "x's are canceled by the 2 in the denominator. That leaves you with (xxxxxx) = x^6 ================== The general rule is x^a/x^b = x^(a-b) ====================================== Cheers, Stan H. ==============