Question

Solve x^3 = 1 over 8.

1 over 2
±1 over 2
1 over 4
±1 over 4

Answer 1

A N S W E R :

x³ = 1/8

8 can be written as 2³

x³ = 1/2³

(x)³ = (1/2)³

When exponents are same bases are taken and exponents are eliminated

x = 1/2

• Hence, the required answer is 1/2

Answer 2

x = 1/2

Explanation:

x^3 = 1/8

Take the cube root of each side

x^3 ^ (1/3) = (1/8)^ (1/3)

Rewriting 8 as 2^3

x^3 ^ (1/3) = (1/2^3)^ (1/3)

x = 1/2