Solve (1-i)^8/(1-i)^6

$$\frac { ( 1 - i ) ^ { 8 } } { ( 1 - i ) ^ { 6 } }$$

Evaluate

$$-2i$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 6 from 8 to get 2.

$$\left(1-i\right)^{2}$$

Calculate 1-i to the power of 2 and get -2i.

$$-2i$$

Real Part

$$0$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 6 from 8 to get 2.

$$Re(\left(1-i\right)^{2})$$

Calculate 1-i to the power of 2 and get -2i.

$$Re(-2i)$$

The real part of -2i is 0.

$$0$$