What is (\sqrt[3]{3/(4pi)v})^2 ?

The solution to (\sqrt[3]{3/(4pi)v})^2 is ((3v)/(4pi))^{2/3}

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simplify (\sqrt[3]{3/(4pi)v})^2

simplify

(\frac{3 v}{4 π})^{\frac{2}{3}}

Solution steps

Apply radical rule:

= ((\frac{3}{4 π} v)^{\frac{1}{3}})^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= (\frac{3}{4 π} v)^{\frac{1}{3} \cdot 2}

\frac{1}{3} \cdot 2 = \frac{2}{3}

= (\frac{3}{4 π} v)^{\frac{2}{3}}

Multiply

\frac{3}{4 π} v : \frac{3 v}{4 π}

= (\frac{3 v}{4 π})^{\frac{2}{3}}

0.0000345 x^{- 3}

π r^{2} \cdot 1.96 π r^{2}

1.15 \cdot 1 0^{- 8}

(4 v^{2} w) 4 v^{2} w^{4}

232 \cdot 70.7 \cdot 0.05

What is (\sqrt[3]{3/(4pi)v})^2 ?
The solution to (\sqrt[3]{3/(4pi)v})^2 is ((3v)/(4pi))^{2/3}