Question

What is the remainder when 4^31 is divided by 10?

Answer 1

what doe the division give you?

Answer 2

that is \(\bf 4^{31} \div 10\)

Answer 3

so it would be 4

Answer 4

well... no , you grab the integer part, the non-decimal one, and multiply by 10

whatever that gives you, subtract THAT AMOUNT from \(\bf 4^{31}\) and that will be the remainder

Answer 5

\(\bf 4^{31}\div 10 = \color{red}{461168601842738790}.4\\ \quad \\
10 \cdot \color{red}{461168601842738790} \implies \color{blue}{4611686018427387900}\\ \quad \\
4^{31}\implies 4611686018427387904\qquad thus\\ \quad \\
4611686018427387904 \quad -\quad \color{blue}{4611686018427387900} \implies remainder\)