Question

Simplify the following expression. Answer as a fraction (2/5)3rd power =

Answer 1

To simplify the expression \((\frac{2}{5})^3\), we will calculate the cube of the fraction:

\[
\left(\frac{2}{5}\right)^3 = \frac{2^3}{5^3}
\]

Now, we calculate \(2^3\) and \(5^3\):

\[
2^3 = 8 \quad \text{and} \quad 5^3 = 125
\]

Now, we can form the fraction:

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

Thus, the simplified expression is:

\[
\frac{8}{125}
\]