SOLUTION: simplify (2x to the power of -2 times y to the power of 3 over x to the power of 2 times y to the power of -3) to the power of -1 a. 2 b. 2x to the power of 4 over y to the p

Algebra ->  Rational-functions -> SOLUTION: simplify (2x to the power of -2 times y to the power of 3 over x to the power of 2 times y to the power of -3) to the power of -1 a. 2 b. 2x to the power of 4 over y to the p      Log On


   

Question 118161: simplify (2x to the power of -2 times y to the power of 3 over x to the power of 2 times y to the power of -3) to the power of -1
a. 2
b. 2x to the power of 4 over y to the power of 6
c. 1 over 2
d. x to the power of 4 over 2y to the power of 6
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
simplify (2x to the power of -2 times y to the power of 3 over x to the power of 2 times y to the power of -3) to the power of -1
:
Assume that you mean:
%28%28%282x%5E-2%2Ay%5E3%29%29%2F%28%28x%5E2%2Ay%5E-3%29%29%29%5E-1
:
You can get rid of the outside exponent of -1 by inverting the fraction:
%28%28x%5E2%2Ay%5E-3%29%29%2F%28%282x%5E-2%2Ay%5E3%29%29
:
Add the like term exponents so they will be positive:
%28%28x%5E%282%2B2%29%29%29%2F%28%282%2Ay%5E%283%2B3%29%29%29 = %28%28x%5E4%29%29%2F%28%282y%5E6%29%29
:
Remember when you divide, the exponents are subtracted, but if it's a negative
exponent, you have a minus a minus, which is a plus
:
Looks like the answer is d, doesn't it