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Popular >

simplify \sqrt[9]{10^5}

Solution

simplify

Solution

1 0^{\frac{5}{9}}

+1

Decimal Notation

3.59381 \dots

Solution steps

Apply radical rule:

= (1 0^{5})^{\frac{1}{9}}

Apply exponent rule:

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

= 1 0^{5 \cdot \frac{1}{9}}

5 \cdot \frac{1}{9} = \frac{5}{9}

= 1 0^{\frac{5}{9}}

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Frequently Asked Questions (FAQ)

What is \sqrt[9]{10^5} ?
The solution to \sqrt[9]{10^5} is 10^{5/9}