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Popular >

simplify \sqrt[20]{5^{10}}

Solution

simplify

Solution

5

+1

Decimal Notation

2.23606 \dots

Solution steps

Apply radical rule:

= (5^{10})^{\frac{1}{20}}

Apply exponent rule:

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

= 5^{10 \cdot \frac{1}{20}}

10 \cdot \frac{1}{20} = \frac{1}{2}

= 5^{\frac{1}{2}}

a^{\frac{1}{2}} = a

= 5

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Frequently Asked Questions (FAQ)

What is \sqrt[20]{5^{10}} ?
The solution to \sqrt[20]{5^{10}} is square root of 5