Answer
x = 4
Work Step by Step
1. To solve the equation $x^{4}$ - 256 = 0, we must bring 256 to the right side, giving use $x^{4}$ = 256
2. Now we take the fourth root of both sides, giving us x =$ \sqrt[4] 256$
3. Simplifying $ \sqrt[4] 256$ gives us x = 4
