Algebra Examples

$x^{\frac{2}{3}} y^{- \frac{1}{3}}$

Step 1

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

$\sqrt[3]{x^{2}} y^{- \frac{1}{3}}$

Step 2

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

$\sqrt[3]{x^{2}} \frac{1}{y^{\frac{1}{3}}}$

Step 3

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

$\sqrt[3]{x^{2}} \frac{1}{\sqrt[3]{y^{1}}}$

Step 4

Anything raised to $1$ is the base itself.

$\sqrt[3]{x^{2}} \frac{1}{\sqrt[3]{y}}$