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Popular >

simplify \sqrt[14]{5^9}

Solution

simplify

Solution

5^{\frac{9}{14}}

+1

Decimal Notation

2.81408 \dots

Solution steps

Apply radical rule:

= (5^{9})^{\frac{1}{14}}

Apply exponent rule:

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

= 5^{9 \cdot \frac{1}{14}}

9 \cdot \frac{1}{14} = \frac{9}{14}

= 5^{\frac{9}{14}}

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Frequently Asked Questions (FAQ)

What is \sqrt[14]{5^9} ?
The solution to \sqrt[14]{5^9} is 5^{9/14}