SOLUTION: If {{{(3x^n)^3 * (3x)^(n-6) = ax^2 }}} what would the values of n and a be?

Algebra ->  Square-cubic-other-roots -> SOLUTION: If {{{(3x^n)^3 * (3x)^(n-6) = ax^2 }}} what would the values of n and a be?      Log On


   

Question 283063: If %283x%5En%29%5E3+%2A+%283x%29%5E%28n-6%29+=+ax%5E2+
what would the values of n and a be?
Answer by nabla(475) About Me  (Show Source):
You can put this solution on YOUR website!
First, simplify the left.

So, we want 2=4n-6.
This implies n=2.
If n=2, a=3^(-1)=1/3.
IE +%281%2F3%29%28x%5E2%29+