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

The solution to \sqrt[3]{\sqrt[7]{5}} is \sqrt[21]{5}

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

simplify

Decimal Notation

1.07965 \dots

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

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

\frac{1}{7} \cdot \frac{1}{3} = \frac{1}{21}

= 5^{\frac{1}{21}}

(- 12 x^{3} + 6 x^{2} + 24 x) e n t re (- 2 x)

3.92 \cdot 1 0^{- 6}

(- 1)^{n} \cdot 2^{n}

(6 x^{\frac{4}{5}} y^{\frac{3}{5}}) (5 x y^{\frac{3}{4}})

e^{- 5.8}

What is \sqrt[3]{\sqrt[7]{5}} ?
The solution to \sqrt[3]{\sqrt[7]{5}} is \sqrt[21]{5}