Trigonometry Examples

$\frac{\sqrt[3]{125 x^{5} y^{6}}}{27}$

Step 1

Rewrite $125 x^{5} y^{6}$ as ${(5 x y^{2})}^{3} x^{2}$ .

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Step 1.1

Rewrite $125$ as $5^{3}$ .

$\frac{\sqrt[3]{5^{3} x^{5} y^{6}}}{27}$

Step 1.2

Factor out $x^{3}$ .

$\frac{\sqrt[3]{5^{3} (x^{3} x^{2}) y^{6}}}{27}$

Step 1.3

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

$\frac{\sqrt[3]{5^{3} (x^{3} x^{2}) {(y^{2})}^{3}}}{27}$

Step 1.4

Move $x^{2}$ .

$\frac{\sqrt[3]{5^{3} (x^{3}) {(y^{2})}^{3} x^{2}}}{27}$

Step 1.5

Rewrite $5^{3} (x^{3}) {(y^{2})}^{3}$ as ${(5 x y^{2})}^{3}$ .

$\frac{\sqrt[3]{{(5 x y^{2})}^{3} x^{2}}}{27}$

Step 2

Pull terms out from under the radical.

$\frac{5 x y^{2} \sqrt[3]{x^{2}}}{27}$