What is \sqrt[3]{(\sqrt[3]{x-1})} ?

The solution to \sqrt[3]{(\sqrt[3]{x-1})} is \sqrt[9]{x-1}

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simplify \sqrt[3]{(\sqrt[3]{x-1})}

simplify

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

assuming

a \geq 0

= (x - 1)^{\frac{1}{3} \cdot \frac{1}{3}}

\frac{1}{3} \cdot \frac{1}{3} = \frac{1}{9}

= (x - 1)^{\frac{1}{9}}

e^{- 3 t} sinh (t)

16.8 \cdot 1 0^{- 6}

\frac{e ^{2 t}}{e ^{5 t}}

160.58 e^{- 0.38 \cdot 3.2}

4.13 \cdot 1 0^{- 1}

What is \sqrt[3]{(\sqrt[3]{x-1})} ?
The solution to \sqrt[3]{(\sqrt[3]{x-1})} is \sqrt[9]{x-1}