Thumbnail below, problem #99. Solve for k.
I don't really know how to write as far as I got. :[ But basically I started by combining like terms, making it the 5th root of 32a^2k+8 = 2a^4 (after the ^ those are part of the exponent). Then from there I took the 5th root of 32, 2, and then divided both sides by two making it:
5th root of a^2k+8 = a^4
From there I don't know what to do, or if the previous steps of combining the exponents were correct.