Evaluate (8)^(5/3)

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Algebra

Evaluate (8)^(5/3)

${(8)}^{\frac{5}{3}}$

Simplify the expression.

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Rewrite $8$ as $2^{3}$ .

${(2^{3})}^{\frac{5}{3}}$

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

$2^{3 (\frac{5}{3})}$

Cancel the common factor of $3$ .

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Cancel the common factor.

$2^{3 (\frac{5}{3})}$

Rewrite the expression.

$2^{5}$

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

$32$

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