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.

algebra math 
MathMate,
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)?