Algebra Examples

$2^{(\frac{2}{3})} x^{(\frac{1}{2})} y^{(\frac{1}{4})}$

Step 1

Remove parentheses.

$2^{\frac{2}{3}} x^{(\frac{1}{2})} y^{(\frac{1}{4})}$

Step 2

Remove parentheses.

$2^{\frac{2}{3}} x^{\frac{1}{2}} y^{(\frac{1}{4})}$

Step 3

Remove parentheses.

$2^{\frac{2}{3}} x^{\frac{1}{2}} y^{\frac{1}{4}}$

Step 4

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

$\sqrt[3]{2^{2}} x^{\frac{1}{2}} y^{\frac{1}{4}}$

Step 5

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

$\sqrt[3]{2^{2}} \sqrt{x^{1}} y^{\frac{1}{4}}$

Step 6

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

$\sqrt[3]{2^{2}} \sqrt{x^{1}} \sqrt[4]{y^{1}}$

Step 7

Anything raised to $1$ is the base itself.

$\sqrt[3]{2^{2}} \sqrt{x} \sqrt[4]{y^{1}}$

Step 8

Anything raised to $1$ is the base itself.

$\sqrt[3]{2^{2}} \sqrt{x} \sqrt[4]{y}$