Solve -5/-5i

$$\frac { - 5 } { - 5 i }$$

Evaluate

$$-i$$

Solution Steps

Multiply both numerator and denominator by imaginary unit i.

$$\frac{-5i}{-5i^{2}}$$

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

$$\frac{-5i}{5}$$

Divide -5i by 5 to get -i.

$$-i$$

Real Part

$$0$$

Solution Steps

Multiply both numerator and denominator of \frac{-5}{-5i} by imaginary unit i.

$$Re(\frac{-5i}{-5i^{2}})$$

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

$$Re(\frac{-5i}{5})$$

Divide -5i by 5 to get -i.

$$Re(-i)$$

The real part of -i is 0.

$$0$$