化简 (9+i)/(-7i)

解答

化简

\frac{9 + i}{- 7 i}

- \frac{1}{7} + \frac{9}{7} i

求解步骤

\frac{9 + i}{- 7 i}

乘以共轭根式

\frac{- i}{- i}

= \frac{( 9 + i ) ( - i )}{- 7 i ( - i )}

化简

\frac{( 9 + i ) ( - i )}{- 7 i ( - i )} : \frac{- 9 i + 1}{- 7}

= \frac{- 9 i + 1}{- 7}

Rewrite in standard complex form:

- \frac{1}{7} + \frac{9}{7} i

= - \frac{1}{7} + \frac{9}{7} i

s im pl i f y \frac{1}{5 - 5}

s im pl i f y \frac{6 x ^{3} + 8 x ^{2} - 10 x}{2 x}

s im pl i f y \frac{1}{9} \cdot \frac{3}{5}

s im pl i f y s^{2}

\frac{68}{7}