Trigonometry Examples

${(27 x)}^{\frac{2}{3}}$

Step 1

Simplify the expression.

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Step 1.1

Apply the product rule to $27 x$ .

$27^{\frac{2}{3}} x^{\frac{2}{3}}$

Step 1.2

Rewrite $27$ as $3^{3}$ .

${(3^{3})}^{\frac{2}{3}} x^{\frac{2}{3}}$

Step 1.3

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$3^{3 (\frac{2}{3})} x^{\frac{2}{3}}$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Cancel the common factor.

$3^{3 (\frac{2}{3})} x^{\frac{2}{3}}$

Step 2.2

Rewrite the expression.

$3^{2} x^{\frac{2}{3}}$

Step 3

Raise $3$ to the power of $2$ .

$9 x^{\frac{2}{3}}$