What is (\sqrt[5]{\sqrt[3]{2}})^3 ?

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

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simplify (\sqrt[5]{\sqrt[3]{2}})^3

simplify

Decimal Notation

1.14869 \dots

Solution steps

Apply radical rule:

= (2^{\frac{1}{15}})^{3}

Apply exponent rule:

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

= 2^{\frac{1}{15} \cdot 3}

\frac{1}{15} \cdot 3 = \frac{1}{5}

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

\frac{15904 3 ^{2}}{32 2 ^{2}}

e^{- 3 l n (\frac{y - 1}{y + 1})}

2 e^{- 2 t s i n (2 t)}

I n (I n e^{e^{200}})

8.8 e^{- 10}

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