Evaluate (8000)^(2/3)

${(8000)}^{\frac{2}{3}}$

Simplify the expression.

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Rewrite $8000$ as $20^{3}$ .

${(20^{3})}^{\frac{2}{3}}$

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

$20^{3 (\frac{2}{3})}$

Cancel the common factor of $3$ .

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Cancel the common factor.

$20^{3 (\frac{2}{3})}$

Rewrite the expression.

$20^{2}$

Raise $20$ to the power of $2$ .

$400$

Evaluate (8000)^(2/3)

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