Solve (1-2i)^3/i

$$\frac { ( 1 - 2 i ) ^ { 3 } } { i }$$

Evaluate

$$2+11i$$

Solution Steps

Calculate 1-2i to the power of 3 and get -11+2i.

$$\frac{-11+2i}{i}$$

Multiply both numerator and denominator by imaginary unit i.

$$\frac{-2-11i}{-1}$$

Divide -2-11i by -1 to get 2+11i.

$$2+11i$$

Real Part

$$2$$

Solution Steps

Calculate 1-2i to the power of 3 and get -11+2i.

$$Re(\frac{-11+2i}{i})$$

Multiply both numerator and denominator of \frac{-11+2i}{i} by imaginary unit i.

$$Re(\frac{-2-11i}{-1})$$

Divide -2-11i by -1 to get 2+11i.

$$Re(2+11i)$$

The real part of 2+11i is 2.

$$2$$