What is (3-sqrt(-4))^{-1} ?

The solution to (3-sqrt(-4))^{-1} is 3/13+2/13 i

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simplify (3-sqrt(-4))^{-1}

simplify

(3 - - 4)^{- 1}

\frac{3}{13} + \frac{2}{13} i

Solution steps

(3 - - 4)^{- 1}

Apply exponent rule:

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

(3 - - 4)^{- 1} = \frac{1}{3 - - 4}

= \frac{1}{3 - - 4}

Simplify

\frac{1}{3 - - 4} : \frac{3}{13} + i \frac{2}{13}

= \frac{3}{13} + i \frac{2}{13}

Rewrite in standard complex form:

\frac{3}{13} + \frac{2}{13} i

= \frac{3}{13} + \frac{2}{13} i

(4 x^{2} y) (2 x^{2} y^{3})

3000000 (1 + 0.12)^{- 5}

2.4 \times 1 0^{- 3}

e^{- \frac{t}{RC}}

\frac{y}{x}