SOLUTION: I need this as soon as possible. Please send me the steps-by-steps please. ( x^3 y^-4 z^-5)( x^-4 y^-2 z^9)

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Question 229032: I need this as soon as possible. Please send me the steps-by-steps please.

( x^3 y^-4 z^-5)( x^-4 y^-2 z^9)
Answer by JenniferTutors(83) About Me  (Show Source):
You can put this solution on YOUR website!

%28x%5E3%29%2F%28y%5E4%29%28z%5E5%29%28z%5E9%29%2F%28x%5E4%29%28y%5E2%29
When you have a negative exponent you have to make it positive, to do so you want to flip the reciprocal of the number like so: %28y%5E-4%29=%281%2Fy%5E4%29
Next, you multiply both together, and you will get:
%28x%5E3%29%28z%5E9%29%2F%28y%5E4%29%28z%5E5%29%28x%5E4%29%28y%5E2%29
Next you subtract like terms by exponents, here's how it would look:
%28z%5E4%29%2Across%28x%5E3%29%2F%28y%5E6%29cross%28z%5E5%29%28x%29
Combine y%5E2%2By%5E4=y%5E6
Subtract z%5E9-z%5E5=z%5E4
Subtract x%5E4-x%5E3=x
Now you're left with your answer:
%28z%5E4%29%2F%28x%29%28y%5E6%29