Question

Solve for x.

x^3 = 8/125

Enter your answer in the box as a fraction in simplest form.
x =

Answer 1

The value of x in simplest fraction is
`(2)/(5)`

Explanation:

Given : Equation
`x^3=(8)/(125)`

We have to find the value of x in simplest fraction.

Consider the given equation
`x^3=(8)/(125)`

writing 8 as 2 × 2 ×2

and writing 125 as 5 × 5 × 5

Thus,
`x^3=(8)/(125)=(2* 2* 2)/(5* 5* 5)`

re-written as
`x^3=((2)/(5))^3`

Comparing both side, we have,

`x=(2)/(5)`

Thus, The value of x in simplest fraction is
`(2)/(5)`

Answer 2

x³ = 8/125

x = ∛8/125

x = 2/5

In short, Your Answer would be: 2/5

Hope this helps!