SOLUTION: This is another problem where it says to simplify. 4x to 4th y to 7th z to 3rd/32x to 5th y to 4th z to 9th

Algebra ->  Exponents -> SOLUTION: This is another problem where it says to simplify. 4x to 4th y to 7th z to 3rd/32x to 5th y to 4th z to 9th      Log On


   

Question 37548: This is another problem where it says to simplify.
4x to 4th y to 7th z to 3rd/32x to 5th y to 4th z to 9th
Answer by junior403(76) About Me  (Show Source):
You can put this solution on YOUR website!
So if I understand correctly you are asking to simplify the expression:
4x%5E4y%5E7z%5E3%2F32x%5E5y%5E4z%5E9
Using the quotient rule for exponents you would first set up you problem
by subtracting the variables in the numerator by the corresponding variables in the denominator.
So, first begin with the rational expression 4/32, which can be simplified 1/8.
Then...
x%5E%284-5%29y%5E%287-4%29z%5E%283-9%29%2F+%288%29
Which becomes...
x%5E%28-1%29y%5E%283%29z%5E%28-6%29%2F+%288%29
Then positive exponents remain in the numerator and negative exponents are put in the denominator as positives.
So...
y%5E%283%29%2F+%288xz%5E6%29
This is the most this can be simplified.