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Popular >

simplify \sqrt[3]{\sqrt[3]{b}}

Solution

simplify

Solution

Solution steps

Apply radical rule:

= (b^{\frac{1}{3}})^{\frac{1}{3}}

Apply exponent rule:

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

assuming

a \geq 0

= b^{\frac{1}{3} \cdot \frac{1}{3}}

\frac{1}{3} \cdot \frac{1}{3} = \frac{1}{9}

= b^{\frac{1}{9}}

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Frequently Asked Questions (FAQ)

What is \sqrt[3]{\sqrt[3]{b}} ?
The solution to \sqrt[3]{\sqrt[3]{b}} is \sqrt[9]{b}