1. The problem statement, all variables and given/known data 8x^-3 = 64 2. Relevant equations None. 3. The attempt at a solution I tried doing all sorts of things, changing 8x^-3 to (1/8x)^3 or trying to get both sides to have the same base, but couldn't get it to work. The book I am using does not explain how to do so, I have already looked through the whole chapter that the problem is from. Primarily, I would like assistance in understanding the concepts behind this problem. With the current problem, it is relatively easy to figure out by educated guessing & checking, but when there are more difficult numbers and more challenging problems, guessing and checking won't work. Thanks for the assistance.