SOLUTION: Please verify if I have correctly simplified the below expressions: Problem 1 = x^3a * x^b my answer is x^3a+b Problem 2 = 4ab(6a^2b^3) divide by -16a^3b^3 = 24a^3b^4 divide

Algebra ->  Expressions -> SOLUTION: Please verify if I have correctly simplified the below expressions: Problem 1 = x^3a * x^b my answer is x^3a+b Problem 2 = 4ab(6a^2b^3) divide by -16a^3b^3 = 24a^3b^4 divide      Log On


   

Question 1173730: Please verify if I have correctly simplified the below expressions:
Problem 1 = x^3a * x^b my answer is x^3a+b
Problem 2 = 4ab(6a^2b^3) divide by -16a^3b^3 = 24a^3b^4 divided by -16a^3b^3 =
24b divided by 16 = -3b/2
Problem 3 = x^-3 = 1/x^3
Problem 4 = (-2x)^3 = 1/8x^3
Problem 5 = 2^-3 = 1/2^3 = 1/8
Thank you

Found 2 solutions by Alan3354, ewatrrr:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Please verify if I have correctly simplified the below expressions:
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Be more careful how you enter the problems.
Problem 1 = x^3a * x^b my answer is x^3a+b
Problem 1: x^(3a) * x^b = x^(3a+b)
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Problem 2 = 4ab(6a^2b^3) divide by -16a^3b^3 = 24a^3b^4 divided by -16a^3b^3 =
24b divided by 16 = -3b/2
Not clear.
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Problem 3 = x^-3 = 1/x^3 Correct
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Problem 4 = (-2x)^3 = 1/8x^3 **** = -1/(8x^3)
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Problem 5 = 2^-3 = 1/2^3 = 1/8 Correct

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Rules Governing Exponents:

a%5E0+=+1

%28+x%5Em+%29%28+x%5En+%29+=+x%5E%28+m+%2B+n+%29

x%5Em%2Fx%5En=x%5E%28m-n%29

%28a%5Ep%29%5Eq+=+a%5E%28p%2Aq%29

%28xy%29%5En+=+x%5En%2Ay%5En

                        

Problem 1 = x^3a * x^b my answer is x^3a+b  |recommend parenthesis: x^(3a+b)

Problem 2 = 4ab(6a^2b^3) / (-16a^3b^3) = 24a^3b^4 /-16a^3b^3 =

24b /16 = -3b/2  Nice.

Problem 3 = x^-3 = 1/x^3   Good work

Problem 4 = (-2x)^3 = 1/8x^3  no   highlight_green%28-8x%5E3%29

Problem 5 = 2^-3 = 1/2^3 = 1/8 Good work

Wish You the Best in your Studies.