What is (\sqrt[3]{1347/4})^2 ?

The solution to (\sqrt[3]{1347/4})^2 is (1347/4)^{2/3}

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simplify (\sqrt[3]{1347/4})^2

simplify

(\frac{1347}{4})^{\frac{2}{3}}

Decimal Notation

48.40293 \dots

Solution steps

Apply radical rule:

= ((\frac{1347}{4})^{\frac{1}{3}})^{2}

Apply exponent rule:

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

= (\frac{1347}{4})^{\frac{1}{3} \cdot 2}

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

= (\frac{1347}{4})^{\frac{2}{3}}

π \cdot 4^{2} \cdot 4 \cdot 0.5

x^{2} \cdot t^{2}

e^{- 5 x} \cdot (- 2 e^{- 2 x})

e^{- 2 y^{2}} \cdot e^{- 3 y^{2}}

1.63 \cdot 1 0^{- 3}

What is (\sqrt[3]{1347/4})^2 ?
The solution to (\sqrt[3]{1347/4})^2 is (1347/4)^{2/3}