What is \sqrt[11]{\sqrt[3]{x}} ?

The solution to \sqrt[11]{\sqrt[3]{x}} is \sqrt[33]{x}

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simplify \sqrt[11]{\sqrt[3]{x}}

simplify

Solution steps

Apply radical rule:

= (x^{\frac{1}{3}})^{\frac{1}{11}}

Apply exponent rule:

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

assuming

a \geq 0

= x^{\frac{1}{3} \cdot \frac{1}{11}}

\frac{1}{3} \cdot \frac{1}{11} = \frac{1}{33}

= x^{\frac{1}{33}}

- e^{- r t} (x + u)^{0.5}

0.4 \cdot (\frac{15}{44})^{- 1}

8 \cdot 8

2 a^{2} (4 a^{2})

What is \sqrt[11]{\sqrt[3]{x}} ?
The solution to \sqrt[11]{\sqrt[3]{x}} is \sqrt[33]{x}