SOLUTION: Simplify and evaluate (x3y-4z0/5x6y8)3 Thanks for any help you can give, i could not figure this out :)

Algebra ->  Exponents -> SOLUTION: Simplify and evaluate (x3y-4z0/5x6y8)3 Thanks for any help you can give, i could not figure this out :)      Log On


   

Question 35036: Simplify and evaluate (x3y-4z0/5x6y8)3

Thanks for any help you can give, i could not figure this out :)
Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
+%28%28x%5E3y-4z%5E0%29%2F%285x%5E6y%5E8%29%29%5E3+
Assuming this is how your problem looks ... it is solved like this:
First of all ... anything that has an exponent of zero is equal to one
+%28%28x%5E3y-4%29%2F%285x%5E6y%5E8%29%29%5E3+
Next, Lay the fraction out three times, since it is cubed

The denominator is the easy one, lets deal with it first.
Multiply
+%28%28x%5E3y-4%29%28x%5E3y-4%29%28x%5E3y-4%29%29%2F%28125x%5E18y%5E24%29+
Multiply the first two quantities in the numerator
+%28%28x%5E6y%5E2-8x%5E3y%2B16%29%28x%5E3y-4%29%29%2F%28125x%5E18y%5E24%29+
Distribute out the second quantity
+%28x%5E9y%5E3+-12x%5E6y%5E2%2B48x%5E3y-64%29%2F%28125x%5E18y%5E24%29+