Solve 2(2-4i)^-2=

$$2 ( 2 - 4 i ) ^ { - 2 } =$$

Evaluate

$$-\frac{3}{50}+\frac{2}{25}i=-0.06+0.08i$$

Solution Steps

Calculate 2-4i to the power of -2 and get -\frac{3}{100}+\frac{1}{25}i.

$$2\left(-\frac{3}{100}+\frac{1}{25}i\right)$$

Multiply 2 and -\frac{3}{100}+\frac{1}{25}i to get -\frac{3}{50}+\frac{2}{25}i.

$$-\frac{3}{50}+\frac{2}{25}i$$

Real Part

$$-\frac{3}{50} = -0.06$$

Solution Steps

Calculate 2-4i to the power of -2 and get -\frac{3}{100}+\frac{1}{25}i.

$$Re(2\left(-\frac{3}{100}+\frac{1}{25}i\right))$$

Multiply 2 and -\frac{3}{100}+\frac{1}{25}i to get -\frac{3}{50}+\frac{2}{25}i.

$$Re(-\frac{3}{50}+\frac{2}{25}i)$$

The real part of -\frac{3}{50}+\frac{2}{25}i is -\frac{3}{50}.

$$-\frac{3}{50}$$