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Popular >

simplify \sqrt[7]{3^5}

Solution

simplify

Solution

3^{\frac{5}{7}}

+1

Decimal Notation

2.19179 \dots

Solution steps

Apply radical rule:

= (3^{5})^{\frac{1}{7}}

Apply exponent rule:

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

= 3^{5 \cdot \frac{1}{7}}

5 \cdot \frac{1}{7} = \frac{5}{7}

= 3^{\frac{5}{7}}

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Frequently Asked Questions (FAQ)

What is \sqrt[7]{3^5} ?
The solution to \sqrt[7]{3^5} is 3^{5/7}