Questions on Algebra: Exponents and operations on exponents answered by real tutors!

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Question 977358: Solution: convert the numeral A0 base 15 to base 13 I got B7 is this right?
Click here to see answer by Fombitz(32388) About Me 

Question 977542: x^3x^-4y^0
Click here to see answer by Alan3354(69443) About Me 

Question 978209: How do I solve "-10^-4"?
Click here to see answer by Alan3354(69443) About Me 

Question 978173: Learning Theory.
In a psychology experiment, students were given a nine-digit number to memorize. The percent P of students who remembered the number t minutes after it was read to them can be given by P= 90-3t^2/3. What percent of the students remembered the number after 1 hour?

Click here to see answer by KMST(5328) About Me 

Question 978766: 1.(7x)^-2 divided by 7x^3
2. 8x10^3 divided by 8x10^2

Click here to see answer by Alan3354(69443) About Me 

Question 978830: Find the area of a rectangle with sides of 8x^3 and 4x^4
Click here to see answer by rothauserc(4718) About Me 

Question 979102: X to the second power plus 14x plus 40
Click here to see answer by Alan3354(69443) About Me 

Question 979113: 2^30+2^30+2^30+2^30= ?
Click here to see answer by Boreal(15235) About Me 

Question 979143: what is 1 divided by d to the tenth power
Click here to see answer by MathLover1(20849) About Me 

Question 979351: Simplify the exponential expression:
3%5E%28n%2B1%29-3%5E%28n-2%29

Click here to see answer by Alan3354(69443) About Me 
Question 979351: Simplify the exponential expression:
3%5E%28n%2B1%29-3%5E%28n-2%29

Click here to see answer by josgarithmetic(39613) About Me 

Question 979352: Okay I'm sorry for resubmitting this same question, but where did you pull 3%5E3 from Mr. Alan3354? Just seeing the numbers doesn't make much sense to me, does anyone mind helping?
Original Question: Simplify the exponential expression:
3%5E%28n%2B1%29-3%5E%28n-2%29

Click here to see answer by MathLover1(20849) About Me 

Question 979490: 8^-x/50=2 whats the solution of this exponential equation?
Click here to see answer by Fombitz(32388) About Me 
Question 979490: 8^-x/50=2 whats the solution of this exponential equation?
Click here to see answer by Alan3354(69443) About Me 
Question 979490: 8^-x/50=2 whats the solution of this exponential equation?
Click here to see answer by Cromlix(4381) About Me 

Question 979554: 3xy^4/(5xy)^0xy

Click here to see answer by Fombitz(32388) About Me 

Question 980031: 45 divided by x -3=6
Click here to see answer by Boreal(15235) About Me 

Question 980263: 6th to the 2nd power÷2(3)+4=
Click here to see answer by josgarithmetic(39613) About Me 

Question 980298: Find the number of digits of expression in 6^3×4^11×5^5.
Click here to see answer by onlinepsa(22) About Me 

Question 980458: 6^2÷2 (3)+4
Click here to see answer by josgarithmetic(39613) About Me 

Question 980772: Square Root of 81z to the power of 12= what? Assume that z is a positive real number
Click here to see answer by josgarithmetic(39613) About Me 

Question 980760: (2p2q3)×5p0a÷q5
Click here to see answer by Alan3354(69443) About Me 

Question 980820: 100 exponent 1
Click here to see answer by Boreal(15235) About Me 

Question 980842: 6 to 2nd power divided by 2 parents 3 plus 4
Click here to see answer by josh_jordan(263) About Me 

Question 980926: I need help with a problem that i cant seem to get right. My problem is
+%285%5E4%2Api%29%2F+%285%5E2%2Api%29+

Click here to see answer by josgarithmetic(39613) About Me 
Question 980926: I need help with a problem that i cant seem to get right. My problem is
+%285%5E4%2Api%29%2F+%285%5E2%2Api%29+

Click here to see answer by lmeeks54(111) About Me 

Question 981023: x^-1y^-1 how to simplify ? and solution
Click here to see answer by MathLover1(20849) About Me 

Question 981092: +2%284thrt%2836%29%29-3%286thrt%28216%29%29%2Bsqrt%28216%29+
Click here to see answer by josgarithmetic(39613) About Me 
Question 981092: +2%284thrt%2836%29%29-3%286thrt%28216%29%29%2Bsqrt%28216%29+
Click here to see answer by MathTherapy(10549) About Me 

Question 981158: Hello tutors: base 8 ^ 5/3
= 2^(4 x/2).....I got the first half by doing this...base (2^3)^5/3 and then base 2^5... the second part I could not figure that out...can I have a step by step on the second part of this equation and final answer...thanks tutors.

Click here to see answer by Edwin McCravy(20054) About Me 

Question 981438: simplyfiy
(a^3-b^3)+(a^2+ab+b^2)

Click here to see answer by MathLover1(20849) About Me 

Question 981435: (x^2+27)+(x+3)
Click here to see answer by Alan3354(69443) About Me 

Question 981487: 3 to the second power+ 4 divided by 2

Click here to see answer by rfer(16322) About Me 

Question 981403: Find d term in x^2 and d term independent of x in d expansion of ( x-1/2x )^12
Click here to see answer by solver91311(24713) About Me 

Question 981483: Of this electric energy, 260.2 billion kWh were produced by hydroelectric
sources (think water over dams – like Snoqualmie Falls) in 2010.
a) Write this number in correct scientific notation in terms of kWh.
b) What percent of the total US electric energy did hydroelectric sources
account for in 2010? (Round to the nearest 10th of a percent.)
3. Additionally, 94.7 billion kWh were produced by wind power sources.
a) Write this number in correct scientific notation in terms of kWh.
b) What percent of the total US electric energy did wind power sources
account for in 2010? (Round to the nearest 10th of a percent.)
What percent of the total US electric energy did hydro and wind power
sources account for in 2010 combined?
4. Scientific Notation is a good tool for multiplying and dividing, but not as good of a tool for adding and
subtracting. If done correctly, your answers to #2a and 3a cannot easily be added.
a) What adjustment could be made to either 2a or 3a to allow you to add your values in scientific notation?
(Describe in words and demonstrate. Hint: think about “like terms”)
b) Find the total combined amount of hydro and wind energy produced in 2010.
(Use your idea from part a) and write your answer in correct scientific
notation in terms of kWh.)
On average, an American household used 11,698 kWh in 2010.
a) How many American households could have been powered completely on hydro and wind power in
2010? (You may round to the nearest 10th of a million.)
b) If there were 116.7 million households in 2010, your answer to part a) is what percentage of all American
households? (Round to the nearest 10th of a percent.)
c) If done correctly, your answer to 5b) doesn’t match your answer to 3c), though it seems it should. Why is this?

Click here to see answer by solver91311(24713) About Me 

Question 981514: Hi tutors, can you help me answer this? Thanks
Which of these is closest to the number of digits in the number +2%5E1000+ when it is written out in full with no indices?
A. 100
B. 300
C. 500
D. 1000

Click here to see answer by josgarithmetic(39613) About Me 
Question 981514: Hi tutors, can you help me answer this? Thanks
Which of these is closest to the number of digits in the number +2%5E1000+ when it is written out in full with no indices?
A. 100
B. 300
C. 500
D. 1000

Click here to see answer by jim_thompson5910(35256) About Me 

Question 981575: Of this electric energy, 260.2 billion kWh were produced by hydroelectric
sources (think water over dams – like Snoqualmie Falls) in 2010.
a) Write this number in correct scientific notation in terms of kWh.
My answer: 2.6 X 10^11
b) What percent of the total US electric energy did hydroelectric sources
account for in 2010? (Round to the nearest 10th of a percent.)
I can not figure out how to get the percentage.

Click here to see answer by macston(5194) About Me 

Question 981537: how solve manually 1.0611403131028711306 raise to higher power of 57
Click here to see answer by Alan3354(69443) About Me 

Question 981583: I know this is a long question. I have done the best that I could do. I am having trouble figuring out the percentages. All of the question have something in common with each other.
1. According to the U.S. Energy Information Administration (www.eia.gov) the United States consumed 4.151 trillion kWh (kilowatt-hours) of electric energy in 2010. Write this number in correct scientific notation in terms of kWh.
My answer:5.151 X 10^12
2. Of this electric energy, 260.2 billion kWh were produced by hydroelectric
sources (think water over dams – like Snoqualmie Falls) in 2010.
a) Write this number in correct scientific notation in terms of kWh.
my answer:2.6 X 10^11
b) What percent of the total US electric energy did hydroelectric sources
account for in 2010? (Round to the nearest 10th of a percent.)
My answer: 62%
3. Additionally, 94.7 billion kWh were produced by wind power sources.
a) Write this number in correct scientific notation in terms of kWh.
My answer: 9.47 X 10^10
b) What percent of the total US electric energy did wind power sources
account for in 2010? (Round to the nearest 10th of a percent.)
I can not figure out the percentage.
c) What percent of the total US electric energy did hydro and wind power
sources account for in 2010 combined?
I can not figure out the percentage.

Click here to see answer by solver91311(24713) About Me 
Question 981583: I know this is a long question. I have done the best that I could do. I am having trouble figuring out the percentages. All of the question have something in common with each other.
1. According to the U.S. Energy Information Administration (www.eia.gov) the United States consumed 4.151 trillion kWh (kilowatt-hours) of electric energy in 2010. Write this number in correct scientific notation in terms of kWh.
My answer:5.151 X 10^12
2. Of this electric energy, 260.2 billion kWh were produced by hydroelectric
sources (think water over dams – like Snoqualmie Falls) in 2010.
a) Write this number in correct scientific notation in terms of kWh.
my answer:2.6 X 10^11
b) What percent of the total US electric energy did hydroelectric sources
account for in 2010? (Round to the nearest 10th of a percent.)
My answer: 62%
3. Additionally, 94.7 billion kWh were produced by wind power sources.
a) Write this number in correct scientific notation in terms of kWh.
My answer: 9.47 X 10^10
b) What percent of the total US electric energy did wind power sources
account for in 2010? (Round to the nearest 10th of a percent.)
I can not figure out the percentage.
c) What percent of the total US electric energy did hydro and wind power
sources account for in 2010 combined?
I can not figure out the percentage.

Click here to see answer by Boreal(15235) About Me 

Question 981619: this question is long but all of them have some type of connection. I have answer to the question that I could answer. I am asking for help.
1. According to the U.S. Energy Information Administration (www.eia.gov) the United States consumed 4.151 trillion kWh (kilowatt-hours) of electric energy in 2010. Write this number in correct scientific notation in terms of kWh.
My answer: 4.151 X 10^12
2. Of this electric energy, 260.2 billion kWh were produced by hydroelectric
sources (think water over dams – like Snoqualmie Falls) in 2010.
a) Write this number in correct scientific notation in terms of kWh.
My answer:2.602 x 10^11
b) What percent of the total US electric energy did hydroelectric sources
account for in 2010? (Round to the nearest 10th of a percent.)
My answer:6.3%
3. Additionally, 94.7 billion kWh were produced by wind power sources.
a) Write this number in correct scientific notation in terms of kWh.
My answer:9.47 x 10^10
b) What percent of the total US electric energy did wind power sources
account for in 2010? (Round to the nearest 10th of a percent.)
My answer:2.3%
c) What percent of the total US electric energy did hydro and wind power
sources account for in 2010 combined?
My answer: 8.6%
4. Scientific Notation is a good tool for multiplying and dividing, but not as good of a tool for adding and subtracting. If done correctly, your answers to #2a and 3a cannot easily be added.
a) What adjustment could be made to either 2a or 3a to allow you to add your values in scientific notation?
(Describe in words and demonstrate. Hint: think about “like terms”)
I am not sure what adjustments would be needed
b) Find the total combined amount of hydro and wind energy produced in 2010.
(Use your idea from part a) and write your answer in correct scientific notation in terms of kWh.)
I am not sure on how to set this problem up.
5. On average, an American household used 11,698 kWh in 2010.
a) How many American households could have been powered completely on hydro and wind power in 2010? (You may round to the nearest 10th of a million.)
I am not sure on how to set this problem up.
b) If there were 116.7 million households in 2010, your answer to part a) is what percentage of all American households? (Round to the nearest 10th of a percent.)
I am not sure on how to set this problem up.
c) If done correctly, your answer to 5b) doesn’t match your answer to 3c), though it seems it should. Why is this?

Click here to see answer by macston(5194) About Me 

Question 981893: Simplify +%28%28%288x%5E2%29%28y%5E2%29%29%2F%28x%5E-2%29%28y%5E2%29%29%29* %28%284xy%5E2%29%5E-1%29%2F%28x%5E2y%29+
(4xy^2)^-1 is over (x^2)y, idk why its not showing.

Click here to see answer by Alan3354(69443) About Me 

Question 982464: How do you find the perimeter of a polygon in geometry problems using polynominals.
Click here to see answer by solver91311(24713) About Me 

Question 982548: What is 15625^5/6 simplified?
Click here to see answer by Fombitz(32388) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020