Convert to Radical Form (5x^(-1/2))^-2

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

Step 1

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

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

Step 2

Apply the rule $x^{\frac{m}{n}} = \sqrt[n]{x^{m}}$ to rewrite the exponentiation as a radical.

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

Step 3

Anything raised to $1$ is the base itself.

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