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Popular >

simplify \sqrt[10]{10^5}

Solution

simplify

Solution

10

+1

Decimal Notation

3.16227 \dots

Solution steps

Apply radical rule:

= (1 0^{5})^{\frac{1}{10}}

Apply exponent rule:

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

= 1 0^{5 \cdot \frac{1}{10}}

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

= 1 0^{\frac{1}{2}}

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

= 10

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Frequently Asked Questions (FAQ)

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