What is \sqrt[x]{\sqrt[7]{29}} ?

The solution to \sqrt[x]{\sqrt[7]{29}} is 29^{1/(7x)}

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simplify \sqrt[x]{\sqrt[7]{29}}

simplify

x 729

2 9^{\frac{1}{7 x}}

Solution steps

x 729

Apply radical rule:

n a = a^{\frac{1}{n}}

= (2 9^{\frac{1}{7}})^{\frac{1}{x}}

Apply exponent rule:

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

= 2 9^{\frac{1}{7} \cdot \frac{1}{x}}

Simplify

\frac{1}{7} \cdot \frac{1}{x} : \frac{1}{7 x}

= 2 9^{\frac{1}{7 x}}

a^{\frac{1}{n}} = n a

= 2 9^{\frac{1}{7 x}}

3 72 + 618

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(1.23 x 1 0^{3}) (6.4 x 1 0^{2})

What is \sqrt[x]{\sqrt[7]{29}} ?
The solution to \sqrt[x]{\sqrt[7]{29}} is 29^{1/(7x)}