What is (\sqrt[3]{(200)/pi})^2 ?

The solution to (\sqrt[3]{(200)/pi})^2 is (4*25^{2/3})/(pi^{2/3)}

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simplify (\sqrt[3]{(200)/pi})^2

simplify

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

Decimal Notation

15.94361 \dots

Solution steps

Apply radical rule:

= ((\frac{200}{π})^{\frac{1}{3}})^{2}

Apply exponent rule:

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

= (\frac{200}{π})^{\frac{1}{3} \cdot 2}

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

= (\frac{200}{π})^{\frac{2}{3}}

Apply exponent rule:

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

= \frac{20 0 ^{\frac{2}{3}}}{π ^{\frac{2}{3}}}

Apply exponent rule:

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

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

2^{2} = 4

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

0.0016

- 1 \cdot - 1 \cdot - 1

(x)^{3} \cdot x

(6 v)^{3}

t^{2} (2 t)

What is (\sqrt[3]{(200)/pi})^2 ?
The solution to (\sqrt[3]{(200)/pi})^2 is (4*25^{2/3})/(pi^{2/3)}