Simplify: $(125)^{\frac{2}{3}}$ .

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Solution

Given: $(125)^{\frac{2}{3}}$
$= (5^{3})^{\frac{2}{3}}$
$= (5)^{3 \times \frac{2}{3}}$
$= 5^{2}$
$= 25$
$∴ (125)^{\frac{2}{3}} = 25$ .

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