Finite Math Examples

$\frac{\sqrt{49 y^{7}}}{x^{10}}$

Step 1

Rewrite $49 y^{7}$ as ${(7 y^{3})}^{2} y$ .

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Step 1.1

Rewrite $49$ as $7^{2}$ .

$\frac{\sqrt{7^{2} y^{7}}}{x^{10}}$

Step 1.2

Factor out $y^{6}$ .

$\frac{\sqrt{7^{2} (y^{6} y)}}{x^{10}}$

Step 1.3

Rewrite $y^{6}$ as ${(y^{3})}^{2}$ .

$\frac{\sqrt{7^{2} ({(y^{3})}^{2} y)}}{x^{10}}$

Step 1.4

Rewrite $7^{2} {(y^{3})}^{2}$ as ${(7 y^{3})}^{2}$ .

$\frac{\sqrt{{(7 y^{3})}^{2} y}}{x^{10}}$

Step 2

Pull terms out from under the radical.

$\frac{7 y^{3} \sqrt{y}}{x^{10}}$