Question

Solve x3 = 64 over 27. ±8 over 3 8 over 3 ±4 over 3

Answer 1

X^3 = 64/27
x^3 = (4/3)^3
x = +- (4/3)

answer is 
±4 over 3

Answer 2

X³=64/27
Cube root the answer
³√x³=³√64/27
x=4/3.
Check:
x=4/3
x³=(4/3)³
x³=64/27. As a result, the correct answer is 4/3 or 4 over 3. If you wonder why don't I choose the answer as ±4 over 3 because of this
±4/3
Choose positive first
(4/3)²=64/27 Correct. However, then choose negative signs
(-4/3)³=-64/27 Incorrect. Hope it help!