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

The solution to \sqrt[5]{\sqrt[3]{7}} is \sqrt[15]{7}

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

simplify

Decimal Notation

1.13851 \dots

Solution steps

Apply radical rule:

= (7^{\frac{1}{3}})^{\frac{1}{5}}

Apply exponent rule:

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

= 7^{\frac{1}{3} \cdot \frac{1}{5}}

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

= 7^{\frac{1}{15}}

- \frac{2}{26}

e^{- 1.5492}

(91)^{2}

150 e^{- 0.75 x}

What is \sqrt[5]{\sqrt[3]{7}} ?
The solution to \sqrt[5]{\sqrt[3]{7}} is \sqrt[15]{7}