algebra math
posted by bethel on .
If 3 is raised to the 59th power, i.e. 359, what is the units digit? The units digit is the digit in the ones place. Explain the method used to find your answer.

3^{1}=3
3^{2}=9
3^{3}=27
3^{4}=81
3^{5}=243
...
So we conclude that 3 raised to any power divisible by 4 ends with a 1.
Similarly, 3 raised to any power "divisible by 4 minus one", such as 3, 7, 11, ... ends with a 7.
Can you figure out the answer for 3^59 (noting that 59=4*151)?