SOLUTION: Simplify {{{(x^6/5^"")^(-2)}}}, leaving answer with only positive exponents.

Algebra ->  Exponents -> SOLUTION: Simplify {{{(x^6/5^"")^(-2)}}}, leaving answer with only positive exponents.      Log On


   

Question 1109660: Simplify %28x%5E6%2F5%5E%22%22%29%5E%28-2%29, leaving answer
with only positive exponents.
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%5E6%2F5%5E%22%22%29%5E%28-2%29
Flip the fraction and change the sign of the exponent outside:
%285%5E%22%22%2Fx%5E6%29%5E2
Consider the 5 on top to have exponent 1
%285%5E1%2Fx%5E6%29%5E2
Remove the parentheses by multiplying each inner exponent
by the outer exponent 2:

5%5E2%2Fx%5E12
Finally change the 5² to 25
25%5E%22%22%2Fx%5E12