What is \sqrt[7]{\sqrt[10]{14}} ?

The solution to \sqrt[7]{\sqrt[10]{14}} is \sqrt[70]{14}

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simplify \sqrt[7]{\sqrt[10]{14}}

simplify

Decimal Notation

1.03842 \dots

Solution steps

Apply radical rule:

= (1 4^{\frac{1}{10}})^{\frac{1}{7}}

Apply exponent rule:

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

= 1 4^{\frac{1}{10} \cdot \frac{1}{7}}

\frac{1}{10} \cdot \frac{1}{7} = \frac{1}{70}

= 1 4^{\frac{1}{70}}

4 e^{- 1 s}

191 e^{- 3}

6.265 \cdot 1 0^{- 11}

7 e \cdot e^{2 + 3 x}

1.44 \cdot 1 0^{- 4} \cdot 0.1

What is \sqrt[7]{\sqrt[10]{14}} ?
The solution to \sqrt[7]{\sqrt[10]{14}} is \sqrt[70]{14}