simplify 1/(3-4i)

Solution

simplify

\frac{1}{3 - 4 i}

\frac{3}{25} + \frac{4}{25} i

Solution steps

\frac{1}{3 - 4 i}

Multiply by the conjugate

\frac{3 + 4 i}{3 + 4 i}

= \frac{1 \cdot ( 3 + 4 i )}{( 3 - 4 i ) ( 3 + 4 i )}

Simplify

\frac{1 \cdot ( 3 + 4 i )}{( 3 - 4 i ) ( 3 + 4 i )} : \frac{3 + 4 i}{25}

= \frac{3 + 4 i}{25}

Rewrite in standard complex form:

\frac{3}{25} + \frac{4}{25} i

= \frac{3}{25} + \frac{4}{25} i

e^{l n ∣ l n (x) ∣}

3 (x + 9) - (x - 6)

42 \cdot 5

\frac{x ^{- 7}}{x ^{4}}

3 6^{n} \cdot 1 2^{- 2 n}