Simplify (x^(4/5))^(3/7)

${(x^{\frac{4}{5}})}^{\frac{3}{7}}$

Step 1

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

$x^{\frac{4}{5} \cdot \frac{3}{7}}$

Step 2

Multiply $\frac{4}{5} \cdot \frac{3}{7}$ .

Multiply $\frac{4}{5}$ by $\frac{3}{7}$ .

$x^{\frac{4 \cdot 3}{5 \cdot 7}}$

Multiply $4$ by $3$ .

$x^{\frac{12}{5 \cdot 7}}$

Multiply $5$ by $7$ .

$x^{\frac{12}{35}}$