Algebra Examples

$\sqrt[7]{\frac{v^{7} s^{6}}{s^{13}}}$

Step 1

Reduce the expression $\frac{v^{7} s^{6}}{s^{13}}$ by cancelling the common factors.

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Step 1.1

Factor $s^{6}$ out of $v^{7} s^{6}$ .

$\sqrt[7]{\frac{s^{6} v^{7}}{s^{13}}}$

Step 1.2

Factor $s^{6}$ out of $s^{13}$ .

$\sqrt[7]{\frac{s^{6} v^{7}}{s^{6} s^{7}}}$

Step 1.3

Cancel the common factor.

$\sqrt[7]{\frac{s^{6} v^{7}}{s^{6} s^{7}}}$

Step 1.4

Rewrite the expression.

$\sqrt[7]{\frac{v^{7}}{s^{7}}}$

Step 2

Rewrite $\frac{v^{7}}{s^{7}}$ as ${(\frac{v}{s})}^{7}$ .

$\sqrt[7]{{(\frac{v}{s})}^{7}}$

Step 3

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

$\frac{v}{s}$