Write the expression in standard form.
-$$\frac { 7 } { 4 - 13 i }$$
A) $- \frac { 28 } { 185 } - \frac { 91 } { 185 } \mathrm { i }$
B) $\frac { 28 } { 185 } + \frac { 91 } { 185 } \mathrm { i }$
C) $- \frac { 28 } { 185 } + \frac { 91 } { 185 } \mathrm { i }$
D) $\frac { 28 } { 185 } - \frac { 91 } { 185 } \mathrm { i }$

Question

Quizplus · Accepted Answer

To express $\frac { 7 } { 4 - 13 i }$ in standard form, multiply both the numerator and denominator by the conjugate of the denominator, which is $4 + 13i$. This gives $\frac { 7(4 + 13i) } { (4 - 13i)(4 + 13i) }$. Simplifying, we get $\frac { 28 + 91i } { 16 + 169 }$, which simplifies further to $\frac { 28 } { 185 } + \frac { 91 } { 185 } i$.

Write the Expression in Standard Form 74−13i\frac { 7 } { 4 - 13 i }4−13i7​

Write the Expression in Standard Form $\frac { 7 } { 4 - 13 i }$