How do you simplify $\frac{\sqrt[3]{16}}{625}$ $root3(16)/625$ ?

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Answer 1 · 2018-05-23T23:21:21

$\frac{2 \sqrt[3]{2}}{625}$ $(2root3(2))/625$

$\frac{\sqrt[3]{16}}{625}$ $root3(16)/625$

$16 = 2 \cdot 2 \cdot 2 \cdot 2 = 2 \cdot 2^{3}$ $16 = 2*2*2*2 = 2*2^3$

$\frac{\sqrt[3]{2 \cdot 2^{3}}}{625}$ $root3(2*2^3)/625$

$\frac{2 \sqrt[3]{2}}{625}$ $(2root3(2))/625$

How do you simplify root3(16)/6253√16625root3(16)/625?