What is sqrt(\sqrt[3]{\sqrt{x)}} ?

The solution to sqrt(\sqrt[3]{\sqrt{x)}} is \sqrt[12]{x}

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simplify sqrt(\sqrt[3]{\sqrt{x)}}

simplify

Solution steps

Apply radical rule:

= (x^{\frac{1}{6}})^{\frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0

= x^{\frac{1}{6} \cdot \frac{1}{2}}

\frac{1}{6} \cdot \frac{1}{2} = \frac{1}{12}

= x^{\frac{1}{12}}

e^{x} x os x

e^{- 3.84}

5.4 \cdot 1 0^{- 9}

e^{- 14.15}

What is sqrt(\sqrt[3]{\sqrt{x)}} ?
The solution to sqrt(\sqrt[3]{\sqrt{x)}} is \sqrt[12]{x}