Algebra Examples

$f (x) = \sqrt[3]{27 x^{9}}$

Step 1

Write $f (x) = \sqrt[3]{27 x^{9}}$ as an equation.

$y = \sqrt[3]{27 x^{9}}$

Step 2

Simplify $\sqrt[3]{27 x^{9}}$ .

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Step 2.1

Rewrite $27 x^{9}$ as ${(3 x^{3})}^{3}$ .

$y = \sqrt[3]{{(3 x^{3})}^{3}}$

Step 2.2

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

$y = 3 x^{3}$