What is \sqrt[10]{\sqrt[5]{sqrt(x)}} ?

The solution to \sqrt[10]{\sqrt[5]{sqrt(x)}} is \sqrt[100]{x}

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simplify \sqrt[10]{\sqrt[5]{sqrt(x)}}

simplify

Solution steps

Apply radical rule:

= (x^{\frac{1}{10}})^{\frac{1}{10}}

Apply exponent rule:

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

assuming

a \geq 0

= x^{\frac{1}{10} \cdot \frac{1}{10}}

\frac{1}{10} \cdot \frac{1}{10} = \frac{1}{100}

= x^{\frac{1}{100}}

(ln (x - 3))^{- 1}

- 4.1 \cdot 1 0^{- 7}

e^{- c} \cdot e^{x}

17.97 \cdot (1 + 3.05)^{- 1}

(x e^{- x}) (- \frac{1}{x})

What is \sqrt[10]{\sqrt[5]{sqrt(x)}} ?
The solution to \sqrt[10]{\sqrt[5]{sqrt(x)}} is \sqrt[100]{x}