SOLUTION: Simplify. Write the answer using positive exponents only. {{{(2x^6y^(-2))^4}}}

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Question 1102579: Simplify. Write the answer using positive exponents only.
%282x%5E6y%5E%28-2%29%29%5E4

Found 2 solutions by Alan3354, Edwin McCravy:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify. Write the answer using positive exponents only.
(2x^6y^-2)^4
---------------
= %2816x%5E24%2Ay%5E-8%29
= %2816x%5E24%2Fy%5E8%29

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
Here it is with a little more detail:

%282x%5E6y%5E%28-2%29%29%5E4

Give the coefficient 2 a visible exponent of 1

%282%5E1x%5E6y%5E%28-2%29%29%5E4

Multiply each of the three exponents inside the 
parentheses by the exponent 4 just outside the 
parentheses and remove the parentheses:

2%5E4x%5E24y%5E%28-8%29

To make the negative exponent positive, move it
to a denominator down below the other factors:

2%5E4x%5E24%2Fy%5E8

24 means (2)(2)(2)(2) = 16

16x%5E24%2Fy%5E8

Edwin