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

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Question 946567: (8.0 X 10^-4)(2.0 X 10^-3)
Click here to see answer by Alan3354(69443) About Me 

Question 946676: A number increased by 12 is 45 write an algebraic expression for the word sentence

Click here to see answer by stanbon(75887) About Me 

Question 947134: scientific notation 0.0042
Click here to see answer by MathLover1(20849) About Me 

Question 947408: `Pls help out: 6%5Ex%2A2%5E%282x-2%29%2A9%5E%28x-1%29+=1
Click here to see answer by Fombitz(32388) About Me 

Question 947406: `Pls help out: +x%5E%282%2F3%29+-5x%5E%281%2F3%29+++++%2B+++++6=0+++
Click here to see answer by stanbon(75887) About Me 
Question 947406: `Pls help out: +x%5E%282%2F3%29+-5x%5E%281%2F3%29+++++%2B+++++6=0+++
Click here to see answer by MathTherapy(10549) About Me 

Question 947409: `Pls help out: 5%289%5E%282x%29%29+-+15%283%5E%284x-1%29%29
Click here to see answer by MathLover1(20849) About Me 

Question 947405: `Pls help out: +x%5E%282%2F3%29+-5x%5E%281%2F3%29+%28+%29+6=0
Click here to see answer by josgarithmetic(39613) About Me 
Question 947405: `Pls help out: +x%5E%282%2F3%29+-5x%5E%281%2F3%29+%28+%29+6=0
Click here to see answer by MathTherapy(10549) About Me 

Question 947608: Pls help me with this
Click here to see answer by MathLover1(20849) About Me 

Question 947655: I'M TRYING TO UNDERSTAND HOW THE DERIVATIVE OF X^1/4 WAS OBTAINED. USEING
THE FORMAT: lim h--0 f(X+h) - f(X-h)/ X+h - X-h OR 2h
LIM h--0 1/2h [(X+h)^1/4 - (X-h)^1/4 ]
THE ANSWER BY USING THE POWER RULE IS 1/4X^3/4 BUT I CAN'T FIGURE OUT THE MATH TO PROVE IT.
CONFUSED AND IN SEARCH OF CLARITY

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

Question 948316: Calculate the value of x+y.
3^(2x) - 2^(2y) = 17, where x and y are Natural Numbers.

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

Question 948367: If 11e^5x=18, then x
Click here to see answer by Alan3354(69443) About Me 

Question 949272: simplify (-125)^2/3

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

Question 949350: aolvw for x:(1/125)^(4-2x)=5*25^(3x-1)
Click here to see answer by josgarithmetic(39613) About Me 

Question 949956: How do you rewrite the following using only positive exponents?
3a^2b^-2c^-3

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

Question 950321: Simplify the expression.

((x^4y^-2)/(x^-3y^5))^-1

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

Question 950323: Simplify the expression.

x^-3/y

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

Question 950322: Simplify the expression.

(m^3n^-5m^-1)^-3

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

Question 950324: Simplify the expression.

8^0y^5z^-7

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

Question 950345: Simplify the expression.

u^-5v^4(-u^3v^-2)^3

Click here to see answer by MathLover1(20849) About Me 
Question 950345: Simplify the expression.

u^-5v^4(-u^3v^-2)^3

Click here to see answer by MathTherapy(10549) About Me 

Question 950326: Evaluate the expression for x = -2. Make sure to show your work for full credit.

3x^-2

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

Question 950363: Suppose you are a math teacher and you have just taught a lesson on exponents. A student asks you to review some worked problems. Look over the problem and correct any mistakes. Explain the errors in the student's reasoning.

2x^2y * 3x^5y^2 = (2 * 3)(x^2*x^5)(y*y^2) = 6x^10y^2

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

Question 950373: Simplify the expression.

4^-3x^2z^-5

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

Question 950370:
Simplify the expression.

-(x^4y^3)^2(xy^2)^3

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

Question 950727: This has to do with evaluating rational exponents...
I am trying to figure out how -9 ^1/2 can = -3 ?
I though a negative and negative = a positive.
Could you explain please?
Thank you!

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

Question 951562: -(3x-4)squred+3(x-2)(1-2x)
Click here to see answer by MathLover1(20849) About Me 

Question 951593: What's the products of powers: bm∙bn
Click here to see answer by Edwin McCravy(20054) About Me 

Question 951682: Express the function
f(x) = logbase3(27^(3 x + 6) 81^(6 x + 8))

without logarithms.

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

Question 952006: simplify
(-3/x*y^2)^-3

Click here to see answer by stanbon(75887) About Me 

Question 952008: Find the slope of the line containing the given points
(x,3x+1) and (x+h,3(x+h)+1)

Click here to see answer by stanbon(75887) About Me 

Question 953060: What is 14 to the seventh power times 14 to the ninth power written as one power

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

Question 953243: how do i simply 1 over y to the 9th power times y to the 15th power

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

Question 953480: The room in the hotel was 180 meter squared. What is 25% of the room's area?
Click here to see answer by Fombitz(32388) About Me 

Question 953530: x^2-2x-8 SOLUTION
Click here to see answer by Alan3354(69443) About Me 

Question 953583: Please help me solve for n.
%2832%2F11%29%2811%5E%282n%29%29%2B%2811%5E%282n-1%29%29=3
The correct answer given for this is n=0.
I totally have no idea on how to solve this and I don't think my workings are even close to the solution but here they are:
%2832%2F11%29%2811%5E%282n%29%29%2B%2811%5E%282n%29%29%2811%5E-1%29=3
%2832%2F11%29%28%2811%5E2%29%2B%2811%5E2%29%29%5En%2A%2811%5E-1%29=3
%2832%2F11%29%28242%5En%29%2811%5E-1%29=3
I didn't know what to do next after that line so I stopped there.

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

Question 953728: Problems I am stuck on
a. Simpilfy +%283z%5E5%29%5E+%28++-++2_z%5E10%29++
b. Simplify the expression. Assume x denotes any real number
+root%286%2Cx%5E6%29+
My program states "x" is not the answer. I think it has something to do with assuming x denotes any real number so that might change it.
c. Simplify +root%283%2Csqrt%28729x%5E6%29%29+
Please explain
Thank you

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

Question 953735: 5X to the fifth power divided by 5X to the third power
Click here to see answer by MathLover1(20849) About Me 

Question 953951: Unsure why these are incorrect
http://i.imgur.com/0xHiARD.png
Thank you

Click here to see answer by josgarithmetic(39613) About Me 
Question 953951: Unsure why these are incorrect
http://i.imgur.com/0xHiARD.png
Thank you

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

Question 953965: ++root%283%2C+sqrt%28729x%5E6%29%29+
Answer is not 3x or 3(x) any ideas?
The question reads simplify the expression. Assume x denotes any real number.
Thank you

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

Question 954343: simlify (3∧4-3∧2)∧3. write your answer as powers of 2 and,or 3.
Click here to see answer by Fombitz(32388) About Me 

Question 954574: -40+9x=77 what is the value of x and how do I get it

Click here to see answer by EdenWolf(517) About Me 

Question 954575: -40+9x=77 what is the value of x and how do I get it

Click here to see answer by EdenWolf(517) 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