Solve i1/i

$$i \frac { 1 } { i }$$

Evaluate

$$1$$

Solution Steps

Multiply both numerator and denominator of \frac{1}{i} by imaginary unit i.

$$i\times \frac{i}{1i^{2}}$$

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

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

Divide i by -1 to get -i.

$$i\left(-i\right)$$

Multiply i and -i to get 1.

$$1$$

Real Part

$$1$$

Solution Steps

Multiply both numerator and denominator of \frac{1}{i} by imaginary unit i.

$$Re(i\times \frac{i}{1i^{2}})$$

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

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

Divide i by -1 to get -i.

$$Re(i\left(-i\right))$$

Multiply i and -i to get 1.

$$Re(1)$$

The real part of 1 is 1.

$$1$$