SOLUTION: Please, help me with this, step by step: Wrtite in simplest form without negative or zero exponents. (2x^-1)^-2 over 2(y^-1)^-2

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: Please, help me with this, step by step: Wrtite in simplest form without negative or zero exponents. (2x^-1)^-2 over 2(y^-1)^-2      Log On


   

Question 208707This question is from textbook Algebra and Trigonometry Structure and Method Book 2
: Please, help me with this, step by step:
Wrtite in simplest form without negative or zero exponents.
(2x^-1)^-2 over 2(y^-1)^-2 This question is from textbook Algebra and Trigonometry Structure and Method Book 2

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Write in simplest form without negative or zero exponents.
%282x%5E%28-1%29%29%5E%28-2%29%2F%282%28y%5E%28-1%29%29%5E%28-2%29%29
Multiply exponents when raising one power to another power, (2 has an exponent of 1)
%282%5E%28-2%29x%5E%28-1%2A-2%29%29%2F%282%28y%5E%28-1%2A-2%29%29%29 = %282%5E%28-2%29x%5E2%29%2F%282y%5E2%29
The reciprocal makes 2's exponent positive
%28x%5E2%29%2F%282%5E2%2A2y%5E2%29 = %28x%5E2%29%2F%284%2A2y%5E2%29 = %28x%5E2%29%2F%288y%5E2%29
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