Simplify (x^(1/5))^(5/2)

${(x^{\frac{1}{5}})}^{\frac{5}{2}}$

Step 1

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

$x^{\frac{1}{5} \cdot \frac{5}{2}}$

Step 2

Cancel the common factor of $5$ .

Cancel the common factor.

$x^{\frac{1}{5} \cdot \frac{5}{2}}$

Rewrite the expression.

$x^{\frac{1}{2}}$