Evaluate 27^(2/3)

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Algebra

Evaluate 27^(2/3)

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

Simplify the expression.

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

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

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

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

Cancel the common factor of $3$ .

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Cancel the common factor.

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

Rewrite the expression.

$3^{2}$

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

$9$

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