124372 -

To do this, we divide the exponent by 4. If the exponent is exactly divisible by 4 (as 372 is, since

or similar variations, the first step is to isolate the unit digit of the base. In this case, the focus is entirely on the digit . Since the cyclicity of 2 is 4, we must determine where the exponent falls within that four-step cycle. 124372

When faced with a complex problem like finding the unit digit of To do this, we divide the exponent by 4

Every single-digit number, when raised to successive powers, follows a specific repeating pattern for its last digit. For instance, the digit 2 follows a cycle of four: (unit digit 6). After 242 to the fourth power , the cycle repeats ( Since the cyclicity of 2 is 4, we

The Power of Cycles: Understanding Unit Digits in Complex Exponents