Simplify by rationalizing the denominator. Write your answer in a + bi form.
-$\frac{7}{3 i}$
A) $-\frac{3}{7} \mathrm{i}$
B) $\frac{7}{3} \mathrm{i}$
C) $-\frac{7}{3} \mathrm{i}$
D) $\frac{3}{7} \mathrm{i}$

Question

Quizplus · Accepted Answer

To rationalize the denominator of $\frac{7}{3i}$, multiply both the numerator and the denominator by the conjugate of the denominator, which is $-i$, resulting in $\frac{7}{3i} \cdot \frac{-i}{-i} = \frac{-7i}{3}$, which is $-\frac{7}{3}i$.

Simplify by Rationalizing the Denominator 73i\frac{7}{3 i}3i7​ A) −37i-\frac{3}{7} \mathrm{i}−73​i B) 73i\frac{7}{3} \mathrm{i}37​i

Simplify by Rationalizing the Denominator $\frac{7}{3 i}$ A) $-\frac{3}{7} \mathrm{i}$ B) $\frac{7}{3} \mathrm{i}$