Solve 1(2sqrt{-1})^-1

$$1 ( 2 \sqrt { - 1 } ) ^ { - 1 }$$

Evaluate (complex solution)

$$-\frac{1}{2}i=-0.5i$$

Solution Steps

Calculate the square root of -1 and get i.

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

Calculate 2i to the power of -1 and get -\frac{1}{2}i.

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

Multiply 1 and -\frac{1}{2}i to get -\frac{1}{2}i.

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

Real Part (complex solution)

$$0$$

Solution Steps

Calculate the square root of -1 and get i.

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

Calculate 2i to the power of -1 and get -\frac{1}{2}i.

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

Multiply 1 and -\frac{1}{2}i to get -\frac{1}{2}i.

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

The real part of -\frac{1}{2}i is 0.

$$0$$

Evaluate

$$\text{Indeterminate}$$