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Popular >

simplify \sqrt[11]{10^8}

Solution

simplify

Solution

1 0^{\frac{8}{11}}

+1

Decimal Notation

5.33669 \dots

Solution steps

Apply radical rule:

= (1 0^{8})^{\frac{1}{11}}

Apply exponent rule:

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

= 1 0^{8 \cdot \frac{1}{11}}

8 \cdot \frac{1}{11} = \frac{8}{11}

= 1 0^{\frac{8}{11}}

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Frequently Asked Questions (FAQ)

What is \sqrt[11]{10^8} ?
The solution to \sqrt[11]{10^8} is 10^{8/11}