Question

Solve x3 = 1 over 8. 1 over 2 ±1 over 2 1 over 4 ±1 over 4

Answer 1

X³ =  1/8

Take the cube root of both sides.

∛x³  = ∛(1/8)

Since x³ has 3 of such x multiplying each other so we bring out 1 of the x from the cube root sign as discussed.

x = ∛((1/2)*(1/2)*(1/2))

We bring out 1 of the (1/2) out of the cube root sign as well.

x = 1/2

So the answer is the first option.  1 over 2.

I hope this helps.