SOLUTION: Please help: One of my homework problems involves the following expression (-8/27)^-2/3 The expression needs to be simplified. I think the answer is 4/9, but I want to

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help: One of my homework problems involves the following expression (-8/27)^-2/3 The expression needs to be simplified. I think the answer is 4/9, but I want to       Log On


   

Question 107636This question is from textbook
: Please help:
One of my homework problems involves the following expression
(-8/27)^-2/3
The expression needs to be simplified.
I think the answer is 4/9, but I want to make sure I'm on the right track.
Thank you This question is from textbook

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%28-8%2F27%29%5E%28-2%2F3%29=1%2F%28%28-8%2F27%29%5E%282%2F3%29%29
%28-8%2F27%29%5E%28-2%2F3%29=%28-27%2F8%29%5E%282%2F3%29
Let's look at numerator and denominator separately.
%28-27%29%5E%282%2F3%29=%28%28-27%29%5E%281%2F3%29%29%5E2=%28-3%29%5E2=9
%288%29%5E%282%2F3%29=%28%288%29%5E%281%2F3%29%29%5E2=%282%29%5E2=4
Now back to the equation,
%28-8%2F27%29%5E%28-2%2F3%29=%28-27%2F8%29%5E%282%2F3%29
%28-8%2F27%29%5E%28-2%2F3%29=9%2F4