Algebra Examples

$x^{\frac{8}{3}} y^{\frac{- 4}{3}}$

Step 1

Move the negative in front of the fraction.

$x^{\frac{8}{3}} y^{- \frac{4}{3}}$

Step 2

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

$\sqrt[3]{x^{8}} y^{- \frac{4}{3}}$

Step 3

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

$\sqrt[3]{x^{8}} \frac{1}{y^{\frac{4}{3}}}$

Step 4

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

$\sqrt[3]{x^{8}} \frac{1}{\sqrt[3]{y^{4}}}$