Algebra Examples

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

Step 1

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

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

Step 2

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

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

Step 3

Anything raised to $1$ is the base itself.

$\frac{1}{\sqrt{5 x}}$