SOLUTION: Simplify and evaluate: (x3y-4z0/5x6y8)3 Can you help solve this in detail please? Thank you

Algebra ->  Expressions -> SOLUTION: Simplify and evaluate: (x3y-4z0/5x6y8)3 Can you help solve this in detail please? Thank you      Log On


   

Question 35035: Simplify and evaluate:
(x3y-4z0/5x6y8)3
Can you help solve this in detail please?
Thank you
Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
This is a duplicate of problem number 35036


+%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+