Evaluate 81^(3/4)

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Algebra

Evaluate 81^(3/4)

$81^{\frac{3}{4}}$

Simplify the expression.

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Rewrite $81$ as $3^{4}$ .

${(3^{4})}^{\frac{3}{4}}$

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

$3^{4 (\frac{3}{4})}$

Cancel the common factor of $4$ .

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Cancel the common factor.

$3^{4 (\frac{3}{4})}$

Rewrite the expression.

$3^{3}$

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

$27$

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