Suppose that \(6^{472}\) had a 2 for its unit digit. That is, suppose \(6^{472} = 19,381,6\ldots\ldots 2\text{.}\) What would the unit digit of \(6^{473}\) be?
Hint.
\(6^{473} = 6 \cdot 6^{472}\text{.}\)
2.
What is the unit digit of \(6^{2}\text{,}\) of \(6^3\text{,}\) and of \(6^4\text{?}\)
The unit’s digit of \(6^2\) is .
The unit’s digit of \(6^3\) is .
The unit’s digit of \(6^4\) is .
3.
Which of the following are true? Select all that apply.
If the unit’s digit of \(6^k\) is a 6, then the unit’s digit of \(6^{k+1}\) is a 6.
If the unit’s digit of \(6^k\) is a 2, then the unit’s digit of \(6^{k+1}\) is a 2.
