Algebra Examples

$32^{(\frac{1}{2})} x^{(\frac{5}{2})} y^{(\frac{3}{2})}$

Step 1

Remove parentheses.

$32^{\frac{1}{2}} x^{(\frac{5}{2})} y^{(\frac{3}{2})}$

Step 2

Remove parentheses.

$32^{\frac{1}{2}} x^{\frac{5}{2}} y^{(\frac{3}{2})}$

Step 3

Remove parentheses.

$32^{\frac{1}{2}} x^{\frac{5}{2}} y^{\frac{3}{2}}$

Step 4

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

$\sqrt{32^{1}} x^{\frac{5}{2}} y^{\frac{3}{2}}$

Step 5

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

$\sqrt{32^{1}} \sqrt{x^{5}} y^{\frac{3}{2}}$

Step 6

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

$\sqrt{32^{1}} \sqrt{x^{5}} \sqrt{y^{3}}$

Step 7

Anything raised to $1$ is the base itself.

$\sqrt{32} \sqrt{x^{5}} \sqrt{y^{3}}$