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Popular >

simplify \sqrt[12]{5^9}

Solution

simplify

Solution

5^{\frac{3}{4}}

+1

Solution steps

Apply radical rule:

= (5^{9})^{\frac{1}{12}}

Apply exponent rule:

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

= 5^{9 \cdot \frac{1}{12}}

9 \cdot \frac{1}{12} = \frac{3}{4}

= 5^{\frac{3}{4}}

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Frequently Asked Questions (FAQ)

What is \sqrt[12]{5^9} ?
The solution to \sqrt[12]{5^9} is 5^{3/4}