Write the quotient in standard form. $- \frac { 20 } { 5 i }$
A)4i
B) $\frac { 4 } { i }$
C) $- \frac { i } { 4 }$
D)-4i
E) $- \frac { 4 } { i }$

Question

Write the quotient in standard form.​ $- \frac { 20 } { 5 i }$ ​
A)​​4i
B) $\frac { 4 } { i }$
C)​ $- \frac { i } { 4 }$
D)​​-4i
E)​ $- \frac { 4 } { i }$

Quizplus · Accepted Answer

To write the quotient in standard form, multiply both the numerator and the denominator by the complex conjugate of the denominator. Here, the complex conjugate of $5i$ is $-5i$, so we multiply both the numerator and the denominator by $-5i$: $- \frac { 20 } { 5 i } \times \frac{-5i}{-5i} = \frac{100i}{25} = 4i$.

Write the Quotient in Standard Form −205i- \frac { 20 } { 5 i }−5i20​

Write the Quotient in Standard Form $- \frac { 20 } { 5 i }$