Algebra Examples

\frac{x^{\frac{1}{2}}}{y^{\frac{1}{2}}}

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

Step 1

Apply the rule

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

$\frac{\sqrt{x^{1}}}{y^{\frac{1}{2}}}$

Step 2

Apply the rule

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

$\frac{\sqrt{x^{1}}}{\sqrt{y^{1}}}$

Step 3

Anything raised to

$1$ is the base itself.

$\frac{\sqrt{x}}{\sqrt{y^{1}}}$

Step 4

Anything raised to

$1$ is the base itself.

$\frac{\sqrt{x}}{\sqrt{y}}$

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