What is (\sqrt[3]{(500)/pi})^2 ?

The solution to (\sqrt[3]{(500)/pi})^2 is (25*4^{2/3})/(pi^{2/3)}

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simplify (\sqrt[3]{(500)/pi})^2

simplify

\frac{25 \cdot 4 ^{\frac{2}{3}}}{π ^{\frac{2}{3}}}

Decimal Notation

29.36838 \dots

Solution steps

Apply radical rule:

= ((\frac{500}{π})^{\frac{1}{3}})^{2}

Apply exponent rule:

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

= (\frac{500}{π})^{\frac{1}{3} \cdot 2}

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

= (\frac{500}{π})^{\frac{2}{3}}

Apply exponent rule:

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

= \frac{50 0 ^{\frac{2}{3}}}{π ^{\frac{2}{3}}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

= \frac{5 ^{2} \cdot 4 ^{\frac{2}{3}}}{π ^{\frac{2}{3}}}

5^{2} = 25

= \frac{25 \cdot 4 ^{\frac{2}{3}}}{π ^{\frac{2}{3}}}

l a pl a s e^{- 1} (\frac{s - 3}{s ^{2} - 12 s + 40})

- 60656 e^{- 892 \cdot 5}

x^{3} \cdot e^{- \frac{1}{x ^{2}}}

- 55.896 \cdot e^{- 0.0822 (5)}

(e^{\frac{3 x}{2}})^{2}

What is (\sqrt[3]{(500)/pi})^2 ?
The solution to (\sqrt[3]{(500)/pi})^2 is (25*4^{2/3})/(pi^{2/3)}