Algebra Examples

$\sqrt[6]{\frac{g^{6} h}{h^{7}}}$

Step 1

Reduce the expression $\frac{g^{6} h}{h^{7}}$ by cancelling the common factors.

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Step 1.1

Factor $h$ out of $g^{6} h$ .

$\sqrt[6]{\frac{h g^{6}}{h^{7}}}$

Step 1.2

Factor $h$ out of $h^{7}$ .

$\sqrt[6]{\frac{h g^{6}}{h \cdot h^{6}}}$

Step 1.3

Cancel the common factor.

$\sqrt[6]{\frac{h g^{6}}{h \cdot h^{6}}}$

Step 1.4

Rewrite the expression.

$\sqrt[6]{\frac{g^{6}}{h^{6}}}$

Step 2

Rewrite $\frac{g^{6}}{h^{6}}$ as ${(\frac{g}{h})}^{6}$ .

$\sqrt[6]{{(\frac{g}{h})}^{6}}$

Step 3

Pull terms out from under the radical, assuming positive real numbers.

$\frac{g}{h}$