Simplify (x^(2/3))^(4/5)

${(x^{\frac{2}{3}})}^{\frac{4}{5}}$

Step 1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$x^{\frac{2}{3} \cdot \frac{4}{5}}$

Step 2

Multiply $\frac{2}{3} \cdot \frac{4}{5}$ .

Multiply $\frac{2}{3}$ by $\frac{4}{5}$ .

$x^{\frac{2 \cdot 4}{3 \cdot 5}}$

Multiply $2$ by $4$ .

$x^{\frac{8}{3 \cdot 5}}$

Multiply $3$ by $5$ .

$x^{\frac{8}{15}}$