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

The quotient of two complex numbers is found by multiplying the first number by the conjugate of the second number and then dividing by the square of the absolute value of the second number. In this case, the conjugate of 5i is -5i, so the quotient is:$- \frac { 20 } { 5 i }$ = $- \frac { 20 } { 5 i }$ * $- \frac { -5i } { -5i }$ = $- \frac { 20 * (-5i) } { 5 i * (-5i) }$ = $- \frac { 100i } { -25 }$ = -4i

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

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