What is \sqrt[5]{\sqrt[6]{7x}} ?

The solution to \sqrt[5]{\sqrt[6]{7x}} is \sqrt[30]{7}\sqrt[30]{x}

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simplify \sqrt[5]{\sqrt[6]{7x}}

simplify

Solution steps

Apply radical rule:

= ((7 x)^{\frac{1}{6}})^{\frac{1}{5}}

Apply exponent rule:

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

assuming

a \geq 0

= (7 x)^{\frac{1}{6} \cdot \frac{1}{5}}

\frac{1}{6} \cdot \frac{1}{5} = \frac{1}{30}

= (7 x)^{\frac{1}{30}}

Apply radical rule:

assuming

a \geq 0, b \geq 0

(5.4 x 1 0^{8}) (7.3 x 1 0^{6})

4.2 x 1 0^{- 3}

g (f^{- 1}) (e)

2.49 \cdot 1 0^{- 3}

4.5 \cdot 1 0^{- 2} \cdot 76

What is \sqrt[5]{\sqrt[6]{7x}} ?
The solution to \sqrt[5]{\sqrt[6]{7x}} is \sqrt[30]{7}\sqrt[30]{x}