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Popular >

simplify \sqrt[12]{5}^9

Solution

simplify

Solution

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

+1

Decimal Notation

3.34370 \dots

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

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

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