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Popular >

simplify \sqrt[25]{5^5}

Solution

simplify

Solution

+1

Decimal Notation

1.37972 \dots

Solution steps

Apply radical rule:

= (5^{5})^{\frac{1}{25}}

Apply exponent rule:

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

= 5^{5 \cdot \frac{1}{25}}

5 \cdot \frac{1}{25} = \frac{1}{5}

= 5^{\frac{1}{5}}

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Frequently Asked Questions (FAQ)

What is \sqrt[25]{5^5} ?
The solution to \sqrt[25]{5^5} is \sqrt[5]{5}