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

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: . The first step is to undo that square root by squaring both sides. That will give you this: . Next we have to undo that cubing by taking the cubed root of both sides, leaving us with this: . We add 8 to both sides to get 8x = 24 and x = 3.

hope it

step-by-step explanation:

x^(1/6) · x^(1/6) · x^(1/6)   ·x^(1/6) = x^(4/6)   since we add the exponents

4/6 can be simplified to 2/3

the simplified form is x^(2/3)

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.