Algebra Examples

${(2 x^{2} + 6)}^{- \frac{1}{4}}$

Step 1

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

$\frac{1}{{(2 x^{2} + 6)}^{\frac{1}{4}}}$

Step 2

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

$\frac{1}{\sqrt[4]{{(2 x^{2} + 6)}^{1}}}$

Step 3

Anything raised to $1$ is the base itself.

$\frac{1}{\sqrt[4]{2 x^{2} + 6}}$