2^4 * 3^8 = 9^n * 6^4

This is what I got: 

http://www.quickmath.com/#c=simplify_algstepssimplify&v187=2%5E4*3%5E8%3D9%5En*6%5E4&v188=n

What's N?

2^4 * 3^8 = 9^n * 6^4

2^4 * 3^4 * 3^4 = (3^2)^n * 6^4

[ 2 * 3]^4 * 3^4  = (3^2)^n * 6^4

[ 6]^4 * 3^4  = (3^2)^n * 6^4     divide by 6^4

3^4  = (3)^(2n)    solve for the exponents

4  = 2n  →    n = 2