Evaluate 813×5231023 8 1 3 × 5 2 3 10 2 3 =..

Question 1 Report

Evaluate $\frac{8^{\frac{1}{3}} \times 5^{\frac{2}{3}}}{10^{\frac{2}{3}}}$ = $\frac{8^{\frac{1}{3}} \times 5^{\frac{2}{3}}}{10^{\frac{2}{3}}}$

3√5

3√2

Answer Details

$\frac{8^{\frac{1}{3}} \times 5^{\frac{3}{2}}}{\frac{2}{10^{3}}}$ = $\frac{(2^{3})^{\frac{1}{3}} \times 5^{\frac{3}{2}}}{(2 \times 5)^{\frac{2}{3}}}$
= $\frac{2 \times 5}{2^{\frac{2}{3}} \times 5^{\frac{3}{2}}}$
= 21 - $\frac{2}{3}$
= 2 $\frac{1}{3}$
= 3 $\sqrt{2}$

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Evaluate 813×5231023 8 1 3 × 5 2 3 10 2 3 = 813×5231023