Question

find the digit in unit's place in the expansion of 4^1970​

Answer 1

Answer:   6

Step-by-step explanation:

we now that 4 power even number then unit digit is 6

n then

here 1970 is even.

Answer 2

4 is the unit place

Digits 4 & 9: Both these numbers have a cyclicity of only two different digits as their unit's digit.

Let us take a look at how the powers of 4 operate: $4^{1}$= 4,

$4^{3}$= 64

$4^{2}$ = 16, and so on.

Hence, the power cycle of 4 contains only 2 numbers 4 & 6, which appear in case of odd and even powers respectively.