Simplify (x^(2/5))^(5/6)

${(x^{\frac{2}{5}})}^{\frac{5}{6}}$

Step 1

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

$x^{\frac{2}{5} \cdot \frac{5}{6}}$

Step 2

Cancel the common factor of $2$ .

Factor $2$ out of $6$ .

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

Cancel the common factor.

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

Rewrite the expression.

$x^{\frac{1}{5} \cdot \frac{5}{3}}$

Step 3

Cancel the common factor of $5$ .

Cancel the common factor.

$x^{\frac{1}{5} \cdot \frac{5}{3}}$

Rewrite the expression.

$x^{\frac{1}{3}}$