SOLUTION: Hello, I need help with this problem: "If 4x - 4y = 2, what is the value of {{{9^(2x)/81^y}}} ?" I reduced the bases to: {{{9^(2x)/9^(2y)}}} but am unsure of what to do next.

Algebra ->  Exponents -> SOLUTION: Hello, I need help with this problem: "If 4x - 4y = 2, what is the value of {{{9^(2x)/81^y}}} ?" I reduced the bases to: {{{9^(2x)/9^(2y)}}} but am unsure of what to do next.       Log On


   

Question 1028852: Hello, I need help with this problem:
"If 4x - 4y = 2, what is the value of 9%5E%282x%29%2F81%5Ey ?"
I reduced the bases to:
9%5E%282x%29%2F9%5E%282y%29
but am unsure of what to do next.
Thanks in advance for your help!
Answer by josgarithmetic(39614) About Me  (Show Source):
You can put this solution on YOUR website!
Try to take advantage of Laws of Exponents.

%28%283%5E2%29%5E%282x%29%29%2F%28%283%5E4%29%5Ey%29

%283%5E%284x%29%29%2F%283%5E%284y%29%29

3%5E%284x-4y%29
HERE is where you now use the given equation relating x and y.
YOU take the rest of the necessary steps.