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Popular >

simplify \sqrt[1021]{10^5}

Solution

simplify

Solution

1 0^{\frac{5}{1021}}

+1

Decimal Notation

1.01133 \dots

Solution steps

Apply radical rule:

= (1 0^{5})^{\frac{1}{1021}}

Apply exponent rule:

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

= 1 0^{5 \cdot \frac{1}{1021}}

5 \cdot \frac{1}{1021} = \frac{5}{1021}

= 1 0^{\frac{5}{1021}}

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Frequently Asked Questions (FAQ)

What is \sqrt[1021]{10^5} ?
The solution to \sqrt[1021]{10^5} is 10^{5/1021}