What is \sqrt[3]{54.22}^2 ?

The solution to \sqrt[3]{54.22}^2 is (\sqrt[3]{7349521})/(5\sqrt[3]{20)}

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simplify \sqrt[3]{54.22}^2

simplify

Decimal Notation

14.32538 \dots

Solution steps

54.22 = \frac{2711}{50}

Apply radical rule:

= ((\frac{2711}{50})^{\frac{1}{3}})^{2}

Apply exponent rule:

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

= (\frac{2711}{50})^{\frac{1}{3} \cdot 2}

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

= (\frac{2711}{50})^{\frac{2}{3}}

Apply exponent rule:

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

= \frac{271 1 ^{\frac{2}{3}}}{5 0 ^{\frac{2}{3}}}

Combine same powers :

\frac{271 1 ^{2}}{5 0 ^{2}} = \frac{7349521}{2500}

Apply radical rule:

assuming

a \geq 0, b \geq 0

0.8 (1.6 \cdot 1 0^{- 19})

(1 - x)^{4} (1 + x)^{4}

1 0^{- 5000} \cdot 2 0^{- 5000}

det (8) (4^{- 2} \cdot 2^{- 3})

2 \cdot (4.352 \cdot 1 0^{- 15})

What is \sqrt[3]{54.22}^2 ?
The solution to \sqrt[3]{54.22}^2 is (\sqrt[3]{7349521})/(5\sqrt[3]{20)}