What is \sqrt[5]{sqrt(\sqrt[3]{27x^9)sqrt(x)}} ?

The solution to \sqrt[5]{sqrt(\sqrt[3]{27x^9)sqrt(x)}} is \sqrt[10]{3}\sqrt[10]{x^3sqrt(x)}

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simplify \sqrt[5]{sqrt(\sqrt[3]{27x^9)sqrt(x)}}

simplify

Solution steps

Apply radical rule:

Apply exponent rule:

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

assuming

a \geq 0

\frac{1}{2} \cdot \frac{1}{5} = \frac{1}{10}

Apply radical rule:

assuming

a \geq 0, b \geq 0

6 (1.3)^{- 1}

4.2 \cdot 1 0^{- 3} \frac{\partial}{\partial x} (34)

2 \cdot (2 e^{2 x}) (1 + e^{2 x})^{2}

((- 4)^{2^{^{'}}})^{- 3^{^{'}}}

0.003 \cdot 2 \cdot 314 \cdot 2 \cdot 1 0^{5}

What is \sqrt[5]{sqrt(\sqrt[3]{27x^9)sqrt(x)}} ?
The solution to \sqrt[5]{sqrt(\sqrt[3]{27x^9)sqrt(x)}} is \sqrt[10]{3}\sqrt[10]{x^3sqrt(x)}