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

Tutors Answer Your Questions about Exponents (FREE)

Question 180176: This a teacher made up question is from my book: Simplify the expression:
(3x to the negative 4 power yz to the negative 7 power)(3x)to the negative 3 power. Can you please help??
Click here to see answer by stanbon(57219)

Question 180173: This question is a teacher made up question and does not come from my book:
Simplify the expression: (xy to the negative 2 power)to the negative 2 power divided by(x to the negative 2 power y)to the negative 3 power. Please can you help me?
Click here to see answer by ptaylor(2048)

Question 180416: This is on top: (3x) ^-2 divide by 9x (9x is on bottom)

Click here to see answer by Mathtut(3670)

Question 180550: Find the product:
(5a^3)(-2ab)

Click here to see answer by Mathtut(3670)

Question 180546: Find the product
-3x(5x^3-4x+2)

Click here to see answer by Fombitz(13828)

Question 181039: I'm trying to help my gr8 daughter with homework. My answer differs from the teachers. Please give me the correct answer and if different from mine, please explain how you got to it. Thanks
(a^3)*2 (b)*2 / (ab)*2=
I get a^3 but according to the memo it is a^4
Click here to see answer by ptaylor(2048)

Question 181120: Simplify and evaluate: (x^3y^-4/5x^6y^-8z^0)^3
I've been getting the answer of x^6y^8/125xy12. Please help me understand whaere I'm going wrong.
Click here to see answer by solver91311(16868)

Question 181188: True or False:
The expression (x^-1/x^-10)^7 is the same as 1/x^63. Assume that the denominator is zero.
How did you determine your answer?
Click here to see answer by Mathtut(3670)

Question 181282: 3x^-1/6x^-2

Click here to see answer by Alan3354(30959)

Question 181317: I need help with this problem 3to the third + (-4 squared) times (-2to the third)
Click here to see answer by Mathtut(3670)

Question 181326: I need help with this problem 3to the third + (-4 squared) times (-2to the third): I need help with this problem 3to the third + (-4 squared) times (-2to the third)with the exponent on the inside of the parenthesis

Click here to see answer by Jesuslovesme!!(1)

Question 181399: what now next and y= rules will express patterns of change in which a variable quantity is increasing
1. at a rate of 205 from a starting rate of $750?
Click here to see answer by Alan3354(30959)

Question 181465: When the exponent is zero why is the answer one?
Click here to see answer by stanbon(57219)

Question 181604: A^2(AB)^4
Click here to see answer by Mathtut(3670)

Question 181684:
Click here to see answer by Mathtut(3670)

Question 181860: (-2)^2 -(3)^2/(1-4)^2x2-6=
Click here to see answer by stanbon(57219)

Question 181240: 1. Simplify and evaluate:
(x^3 y^-4/5x^6 y^-8 z^0)3
Show steps
Click here to see answer by eperette(173)

Question 182423: How would you simply -(4m)^-2 using the Multiplication Properties of Exponents?
Click here to see answer by Mathtut(3670)

Question 182551: 4.1.
Using one of the laws of exponents, prove that any number raised to the 0'th power equals 1.
thank you.
Click here to see answer by stanbon(57219)

Question 182835: Use the Binomial Theorem to expand (3r-s)^5.
I worked it out to 243r^5-405r^4s+270r^3s^2-90r^2s^3+15rs^4-s^5
Am I correct?
Click here to see answer by edjones(7569)

Question 183011: I have a hard time working these two problem out, con you help me?
Click here to see answer by Alan3354(30959)

Question 183219: (3z^4 - 8)^2
Click here to see answer by jim_thompson5910(28476)

Question 183219: (3z^4 - 8)^2
Click here to see answer by stanbon(57219)

Question 183403: Simplify the expression
(7^8)^3
Click here to see answer by jim_thompson5910(28476)

Question 183543: Suppose a population of intial size 100 grows at the rate of 8% per year forever. What is the size of the population at the end of year 1? that is the size of the population at the end of year 2? What is the size of the population at the end of year 3? What is the size of the population at the end of year n (for any integer n)? What algebraic equation would you need to solve to find the number of years x that it would take for our population to reach 2007? Use a calculator to solve for x.
Click here to see answer by stanbon(57219)

Question 184034: hello i would like help with this problem please

simplify this expression
(-5x)^2+5x^2
thank you for your time!:)
Click here to see answer by Earlsdon(6287)

Question 184036: hello i would like help with this problem please

simplify this expression
(-5x)^2+5x^2
thank you for your time!:)
Click here to see answer by jim_thompson5910(28476)

Question 184113: What is the answer to r to the negitive 5th s to the 4th t divided by rs to the negitive 2nd t to the negitive 5th
Click here to see answer by vleith(2825)

Question 184031: (-5x)to the second power+5x to the second power
Click here to see answer by eperette(173)

Question 184184: Solve and show steps by completing the square:
x^2+8x+13=0
Click here to see answer by jim_thompson5910(28476)

Question 184184: Solve and show steps by completing the square:
x^2+8x+13=0
Click here to see answer by solver91311(16868)

Question 184035: hello i would like help with this problem please

simplify this expression
(-5x)^2+5x^2
thank you for your time!:)
Click here to see answer by checkley77(12569)

Question 184370: 5 to the power of 2n = 5 to the power of 9 times 5 to the power of n+1
Click here to see answer by solver91311(16868)

Question 184376: I have tried to solve this problem. This is what I have so far
[(9a^3)/(10b^4)]^-2
9a^3/10b^4^(-2)
9a^3/10b^-8

Click here to see answer by solver91311(16868)

Question 184534: simplify c^-3c^8
Click here to see answer by jim_thompson5910(28476)

Question 185814: Simplify √ (32x^5 y^2) that is sqrt (32x^5 y^2)
{ Show your work }

Click here to see answer by edjones(7569)

Question 185816: Simplify. Assume all variables represent positive numbers. √ (x^4 y^3)
Click here to see answer by jim_thompson5910(28476)

Question 185986: I realize some of these look easy but when you haven't had algebra for so long it looks hard to me/ I also appreciate your help, without you guys I would be Sc-----. WE ARE TO MULTIPLY AND/OR SIMPLIFY
(2X^2 - X -2)-(X^2 + 2)
Click here to see answer by joecbaseball(37)

Question 185987: I realize some of these look easy but when you haven't had algebra for so long it looks hard to me/ I also appreciate your help, without you guys I would be Sc-----. PLEASE MULTIPLY AND OR SIMPLIFY THIS FOR ME.
2X^2(Y - 2) + Y (X^2 + 2)
Click here to see answer by joecbaseball(37)

Question 186262: m
- = 6
3
what is m?
Click here to see answer by checkley77(12569)

Question 186315: PLEASE HELP ME :) I did not know which topic to select for these questions :(
1) Find the slope of a line tangent to the curve of y= square root(3-8x)^1/3 at(-3,3). Use the derivative evaluation feature of a graphing calculator to check result.
2)The amount n (in g) of a compound formed during a chemical change is n=8t/[(2t^2)+3] , where t is the time (in s). Find dn/dt (derivative -I think) for t=4.0s. What is the meaning of the result???
3) Find the SECOND derivative of the function: y=square root 1-8x ???
Click here to see answer by stanbon(57219)

Question 186385: Hi there, Could you please help me solve the following Exponential functions question?
I was going through my notes and examples and although I was able to solve every other homework question, this is the only one that I didnt know how to solve. I was hoping if someone could help me out with it.
State the equation of the exponential function that has the following features. (2 marks)
i) It has the x-axis as an asymptote.
ii) It passes through (0,-1), (-1,-3), and (-2,-9).
Click here to see answer by vleith(2825)

Question 186458: Could someone help me with this problem:
(2/3)^-2(4/5)^-1
I am suppose to write it in simplest form without negative exponents.
I am usually good in algebra but since I got a new math teacher I feel I dont grasp anything anymore :(
Click here to see answer by josmiceli(9649)

Question 186593: X 5/3=32
Click here to see answer by stanbon(57219)

Question 186892: 2xsquared-12xy-32ysquared
Click here to see answer by jim_thompson5910(28476)

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