Solve for x.

x^3=8/125

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

x =

1 answer

To solve for x, we need to take the cube root of both sides:

x = ∛(8/125)

Since 8 and 125 are both perfect cubes, we can simplify the fraction:
8 = 2^3
125 = 5^3

Substituting these values into the equation, we get:
x = ∛(2^3/5^3)

Taking the cube root of both the numerator and denominator separately:
x = 2/5

Therefore, the solution is x = 2/5.