Examples

z^{\frac{1}{3}} x^{\frac{2}{3}} y^{\frac{1}{2}}

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

Step 1

Apply the rule

x^{\frac{m}{n}} = \sqrt[n]{x^{m}}

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

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

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

Step 2

Apply the rule

x^{\frac{m}{n}} = \sqrt[n]{x^{m}}

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

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

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

Step 3

Apply the rule

x^{\frac{m}{n}} = \sqrt[n]{x^{m}}

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

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

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

Step 4

Anything raised to

1

$1$ is the base itself.

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

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

Step 5

Anything raised to

1

$1$ is the base itself.

\sqrt[3]{z} \sqrt[3]{x^{2}} \sqrt{y}

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

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