Algebra Examples

${(c d)}^{\frac{1}{2}} (d^{\frac{1}{3}})$

Step 1

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

$\sqrt{{(c d)}^{1}} d^{\frac{1}{3}}$

Step 2

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

$\sqrt{{(c d)}^{1}} \sqrt[3]{d^{1}}$

Step 3

Anything raised to $1$ is the base itself.

$\sqrt{c d} \sqrt[3]{d^{1}}$

Step 4

Anything raised to $1$ is the base itself.

$\sqrt{c d} \sqrt[3]{d}$