Question

What is the solution of (8x-8)^3/2=64Edit; the answer is x=3

Answer 1

I guess since you have the correct answer there that you need to know how to get it. Start by rewriting that exponent as a radical. It would look like this: $\sqrt{(8x-8)^3}=64$. The first step is to undo that square root by squaring both sides. That will give you this: $(8x-8)^3=4096$. Next we have to undo that cubing by taking the cubed root of both sides, leaving us with this: $8x-8=16$. We add 8 to both sides to get 8x = 24 and x = 3.