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Popular >

simplify \sqrt[b]{\sqrt[6]{7}}

Solution

simplify

Solution

7^{\frac{1}{6 b}}

Solution steps

Apply radical rule:

= (7^{\frac{1}{6}})^{\frac{1}{b}}

Apply exponent rule:

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

= 7^{\frac{1}{6} \cdot \frac{1}{b}}

Simplify

\frac{1}{6} \cdot \frac{1}{b} : \frac{1}{6 b}

= 7^{\frac{1}{6 b}}

= 7^{\frac{1}{6 b}}

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Frequently Asked Questions (FAQ)

What is \sqrt[b]{\sqrt[6]{7}} ?
The solution to \sqrt[b]{\sqrt[6]{7}} is 7^{1/(6b)}