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325 = 847288609443. The last digit is therefore "3".

On your calculator (if you have a scientific calculator; and if you don't but you are using Microsoft Windows you can get a scientific calculator up by going to Start and typing in "calc" in the run/search box) you will have a button that looks like this:

xy (i.e. x to the power of y)

If you type in "3" then press this button and then put in "25" and press equals you should get the above number!

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Q: What is the last digit of 3 to the power of 25?
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Continue Learning about Other Math

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It is 1.


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What is the one's digit of 7 to the 2015th power Explain the steps you took to reach your answer.?

It is a 3. Look at the ones digit of successive powers of 7; this need only be done by considering the multiplication of the ones digit of the previous power of 7 by 7 (as this is the only calculation that affects the ones digit as each successive power of 7 is the previous power multiplied by 7) and taking the result modulus 10 (to extract the new ones digit as any excess over 9 is carried into the tens column): 7¹ → 7 mod 10 = 7 7² → (7×7) mod 10 = 9 7³ → (9×7) mod 10 = 3 7⁴ → (3×7) mod 10 = 1 7⁵ → (1×7) mod 10 = 7 At this point the pattern of the ones digit will obviously repeat the sequence of the four digits {7, 9, 3, 1}. To find the ones digit of any power of 7, take that power modulus 4 use that digit from the four digit sequence. Note that when taking the number modulus 4, the result will be in the range 0-3; when the result is 0, use the 4th digit from the sequence. 2015 mod 4 = 3 → the third digit of {7, 9, 3, 1}, which is 3, will be the ones digit of 7²⁰¹⁵.

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