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Popular >

simplify \sqrt[-5]{10^2}

Solution

simplify

Solution

\frac{1}{1 0 ^{\frac{2}{5}}}

+1

Decimal Notation

0.39810 \dots

Solution steps

Apply radical rule:

= (1 0^{2})^{\frac{1}{- 5}}

Apply exponent rule:

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

= 1 0^{2 \cdot \frac{1}{- 5}}

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

= 1 0^{- \frac{2}{5}}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{1 0 ^{\frac{2}{5}}}

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Frequently Asked Questions (FAQ)

What is \sqrt[-5]{10^2} ?
The solution to \sqrt[-5]{10^2} is 1/(10^{2/5)}