What is \sqrt[3]{sqrt(\sqrt[5]{7)}} ?

The solution to \sqrt[3]{sqrt(\sqrt[5]{7)}} is \sqrt[30]{7}

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simplify \sqrt[3]{sqrt(\sqrt[5]{7)}}

simplify

Decimal Notation

1.06701 \dots

Solution steps

Apply radical rule:

= (7^{\frac{1}{10}})^{\frac{1}{3}}

Apply exponent rule:

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

= 7^{\frac{1}{10} \cdot \frac{1}{3}}

\frac{1}{10} \cdot \frac{1}{3} = \frac{1}{30}

= 7^{\frac{1}{30}}

(4 x) (6 x^{2})

\frac{- 18}{3}

8.4 \cdot 1 0^{- 3}

5 t e^{- 5 t} U s (t)

What is \sqrt[3]{sqrt(\sqrt[5]{7)}} ?
The solution to \sqrt[3]{sqrt(\sqrt[5]{7)}} is \sqrt[30]{7}