Solve -6/8i

$$- \frac { 6 } { 8 i }$$

Evaluate

$$\frac{3}{4}i=0.75i$$

Solution Steps

Multiply both numerator and denominator of \frac{6}{8i} by imaginary unit i.

$$-\frac{6i}{8i^{2}}$$

By definition, i^{2} is -1. Calculate the denominator.

$$-\frac{6i}{-8}$$

Divide 6i by -8 to get -\frac{3}{4}i.

$$\frac{3}{4}i$$

Real Part

$$0$$

Solution Steps

Multiply both numerator and denominator of \frac{6}{8i} by imaginary unit i.

$$Re(-\frac{6i}{8i^{2}})$$

By definition, i^{2} is -1. Calculate the denominator.

$$Re(-\frac{6i}{-8})$$

Divide 6i by -8 to get -\frac{3}{4}i.

$$Re(\frac{3}{4}i)$$

The real part of \frac{3}{4}i is 0.

$$0$$