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

The solution to \sqrt[5]{\sqrt[3]{sqrt(3)}} is \sqrt[30]{3}

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

simplify

Decimal Notation

1.03729 \dots

Solution steps

Apply radical rule:

= (3^{\frac{1}{6}})^{\frac{1}{5}}

Apply exponent rule:

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

= 3^{\frac{1}{6} \cdot \frac{1}{5}}

\frac{1}{6} \cdot \frac{1}{5} = \frac{1}{30}

= 3^{\frac{1}{30}}

3 (0.5 x^{4})^{2} (2 y^{2})

3 y^{2} x^{2}

12.34 \cdot 1 0^{- 4}

[27]^{- 3^{- 8^{0^{- 8^{3}}}}}

(3 x y^{3}) (3 x^{2} y)

What is \sqrt[5]{\sqrt[3]{sqrt(3)}} ?
The solution to \sqrt[5]{\sqrt[3]{sqrt(3)}} is \sqrt[30]{3}