If `((1+i)/(1-i))^m=1,`then find the least integral value of m.

Explanation

To solve the equation \(\left(\frac{1+i}{1-i}\right)^m = 1\), we will follow these steps:

### Step 1: Simplify the expression \(\frac{1+i}{1-i}\)

To simplify \(\frac{1+i}{1-i}\), we can multiply the numerator and denominator by the conjugate of the denominator, which is \(1+i\):

\[
\frac{1+i}{1-i} \cdot \frac{1+i}{1+i} = \frac{(1+i)(1+i)}{(1-i)(1+i)}
...