Evaluate 16^(5/4)

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Algebra

Evaluate 16^(5/4)

$16^{\frac{5}{4}}$

Simplify the expression.

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Rewrite $16$ as $2^{4}$ .

${(2^{4})}^{\frac{5}{4}}$

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

$2^{4 (\frac{5}{4})}$

Cancel the common factor of $4$ .

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Cancel the common factor.

$2^{4 (\frac{5}{4})}$

Rewrite the expression.

$2^{5}$

Raise $2$ to the power of $5$ .

$32$

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