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Popular >

simplify \sqrt[7]{100^6}

Solution

simplify

Solution

10 0^{\frac{6}{7}}

+1

Decimal Notation

51.79474 \dots

Solution steps

Apply radical rule:

= (10 0^{6})^{\frac{1}{7}}

Apply exponent rule:

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

= 10 0^{6 \cdot \frac{1}{7}}

6 \cdot \frac{1}{7} = \frac{6}{7}

= 10 0^{\frac{6}{7}}

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Frequently Asked Questions (FAQ)

What is \sqrt[7]{100^6} ?
The solution to \sqrt[7]{100^6} is 100^{6/7}