Question

What is the ones digit in the number 2 to the 2056 Power?Hint: start with smaller exponents to find the pattern

Answer 1

Follow the steps below to find the ones digit in the number:

`\begin{gathered} 2^(2056) \\ \text{The base = 2} \\ \text{The power = 2056} \end{gathered}`

step 1: Identify the unit digit in the base - the unit digit is 2.

step 2:

If the power or exponent is exactly divisible by 4

case 1: The unit digit of the number is 6 if the unit digit in the base is any of 2, 4, 6, 8.

case 2: The unit digit of the number is 1 if the unit digit in the base is 3, 7, 9.

In this case, the power 2056 is exactly divisible by 4 and the unit digit in the base is 2.

Therefore, the ones digit is 6