SOLUTION: I need a little help with this one. Thanks so much. The question asks to simplify: (-2a^2b^3)^2 / (2a^2b)^3 i came up with ab^7 but i don't know for sure if it's correct. Any

Algebra ->  Expressions-with-variables -> SOLUTION: I need a little help with this one. Thanks so much. The question asks to simplify: (-2a^2b^3)^2 / (2a^2b)^3 i came up with ab^7 but i don't know for sure if it's correct. Any      Log On


   

Question 170669: I need a little help with this one. Thanks so much. The question asks to simplify:
(-2a^2b^3)^2 / (2a^2b)^3
i came up with ab^7 but i don't know for sure if it's correct. Any help would be appreciated.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%28-2a%5E2b%5E3%29%5E2%2F%282a%5E2b%29%5E3
:
I'm not sure how you got that answer, but let's just go thru it.
:
You multiply the numerator exponents by 2; (-2^2 = +4)
Multiply the denominator exponents by 3 (2^3=8) and we have
%284a%5E4b%5E6%29%2F%288a%5E6b%5E3%29
:
Combine the exponents of like terms, in a manner to ensure they are positive:
%28b%5E%28%286-3%29%29%29%2F%282a%5E%28%286-4%29%29%29 = b%5E3%2F%282a%5E2%29
:
did this make sense to you?