Question

Find the solution for x when
x3 = 8/125




.
Responses
A x = 2/5




B x = (2/5)^3





C x = ± 2/5




=(+)
D x = (±2/3)^3

Answer 1

To solve the equation \( x^3 = \frac{8}{125} \), we can take the cube root of both sides:

\[
x = \sqrt[3]{\frac{8}{125}}
\]

Now, we can simplify the right side:

\[
\sqrt[3]{\frac{8}{125}} = \frac{\sqrt[3]{8}}{\sqrt[3]{125}} = \frac{2}{5}
\]

Therefore, the solution for \( x \) is:

\[
x = \frac{2}{5}
\]

The correct option is:

**A** \( x = \frac{2}{5} \)