Simplify (x^(3/5))^(-1/2)

${(x^{\frac{3}{5}})}^{- \frac{1}{2}}$

Step 1

Multiply the exponents in ${(x^{\frac{3}{5}})}^{- \frac{1}{2}}$ .

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

$x^{\frac{3}{5} (- \frac{1}{2})}$

Multiply $\frac{3}{5} (- \frac{1}{2})$ .

Multiply $\frac{3}{5}$ by $\frac{1}{2}$ .

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

Multiply $5$ by $2$ .

$x^{- \frac{3}{10}}$

Step 2

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{x^{\frac{3}{10}}}$