What is \sqrt[6]{\sqrt[5]{sqrt(x)}} ?

The solution to \sqrt[6]{\sqrt[5]{sqrt(x)}} is \sqrt[60]{x}

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simplify \sqrt[6]{\sqrt[5]{sqrt(x)}}

simplify

Solution steps

Apply radical rule:

= (x^{\frac{1}{10}})^{\frac{1}{6}}

Apply exponent rule:

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

assuming

a \geq 0

= x^{\frac{1}{10} \cdot \frac{1}{6}}

\frac{1}{10} \cdot \frac{1}{6} = \frac{1}{60}

= x^{\frac{1}{60}}

(5 x + 5)^{2} (5 x - 5)^{2}

\frac{e ^{5 x}}{e ^{5 x}}

x + 4 \cdot (2 x + 4)

6.9 \cdot 1 0^{- 13}

e^{- 1} e^{- 3}

What is \sqrt[6]{\sqrt[5]{sqrt(x)}} ?
The solution to \sqrt[6]{\sqrt[5]{sqrt(x)}} is \sqrt[60]{x}