What is (\sqrt[5]{6.21})^2 ?

The solution to (\sqrt[5]{6.21})^2 is (3\sqrt[5]{1587})/(\sqrt[5]{10000)}

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simplify (\sqrt[5]{6.21})^2

simplify

Decimal Notation

2.07604 \dots

Solution steps

6.21 = \frac{621}{100}

Apply radical rule:

= ((\frac{621}{100})^{\frac{1}{5}})^{2}

Apply exponent rule:

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

= (\frac{621}{100})^{\frac{1}{5} \cdot 2}

\frac{1}{5} \cdot 2 = \frac{2}{5}

= (\frac{621}{100})^{\frac{2}{5}}

Apply exponent rule:

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

= \frac{62 1 ^{\frac{2}{5}}}{10 0 ^{\frac{2}{5}}}

Combine same powers :

\frac{62 1 ^{2}}{10 0 ^{2}} = \frac{385641}{10000}

Apply radical rule:

assuming

a \geq 0, b \geq 0

a e^{- t} (cos^{2} (t))

e^{- \frac{l n ( 1 - 1000 x )}{1000}}

7 e^{4 x} \cdot e^{- 4 x}

2.5 \cdot 1 0^{- 8} x^{2000}

7 e^{- 0.093 (16)}

What is (\sqrt[5]{6.21})^2 ?
The solution to (\sqrt[5]{6.21})^2 is (3\sqrt[5]{1587})/(\sqrt[5]{10000)}