What is \sqrt[3]{\sqrt[5]{sqrt(x)}} ?

The solution to \sqrt[3]{\sqrt[5]{sqrt(x)}} is \sqrt[30]{x}

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simplify \sqrt[3]{\sqrt[5]{sqrt(x)}}

simplify

Solution steps

Apply radical rule:

= (x^{\frac{1}{10}})^{\frac{1}{3}}

Apply exponent rule:

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

assuming

a \geq 0

= x^{\frac{1}{10} \cdot \frac{1}{3}}

\frac{1}{10} \cdot \frac{1}{3} = \frac{1}{30}

= x^{\frac{1}{30}}

(a)^{5}

1000 (1.0075)^{- 36}

- \frac{1}{2 ln ( 3 )} \cdot 3^{- 0^{2}}

(- 5)^{3} e^{- 5}

P^{T} (P - Q) Q^{T}

What is \sqrt[3]{\sqrt[5]{sqrt(x)}} ?
The solution to \sqrt[3]{\sqrt[5]{sqrt(x)}} is \sqrt[30]{x}