Homework Help: algebra math

Posted by bethel on Monday, June 18, 2012 at 4:58pm.

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, Monday, June 18, 2012 at 5:55pm
3¹=3
3²=9
3³=27
3⁴=81
3⁵=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*15-1)?

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