What is (-1/10+2pi)^{-1} ?

The solution to (-1/10+2pi)^{-1} is (10)/(20pi-1)

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simplify (-1/10+2pi)^{-1}

simplify

(- \frac{1}{10} + 2 π)^{- 1}

\frac{10}{20 π - 1}

Decimal Notation

0.16172 \dots

Solution steps

(- \frac{1}{10} + 2 π)^{- 1}

Apply exponent rule:

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

= \frac{1}{( - \frac{1}{10} + 2 π )}

Join

- \frac{1}{10} + 2 π : \frac{- 1 + 20 π}{10}

= \frac{1}{\frac{- 1 + 20 π}{10}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{10}{- 1 + 20 π}

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