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Popular >

simplify \sqrt[24]{b^{15}}

Solution

simplify

Solution

b^{\frac{5}{8}}

Solution steps

Apply radical rule:

= (b^{15})^{\frac{1}{24}}

Apply exponent rule:

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

assuming

a \geq 0

= b^{15 \cdot \frac{1}{24}}

15 \cdot \frac{1}{24} = \frac{5}{8}

= b^{\frac{5}{8}}

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Frequently Asked Questions (FAQ)

What is \sqrt[24]{b^{15}} ?
The solution to \sqrt[24]{b^{15}} is b^{5/8}