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What can be the last digit of the fourth power of a natural number?

2 Answers

5 votes

Answer:

the last digit can only one of the following: 0, 1, 5, 6

Step by Step Explanations:

It is enough to show that all single digit numbers to the power on four end on one of the four above. Any number with two or more digits can be shown to have the same property.

Let me know if you have any questions.


User Zheyuan Li
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6.4k points
6 votes

Answer:

0, 1, 5 and 6.

Explanation:

If we take all the digits 0 to 9 and take them to the power 4 we will get the answer.

eg 0^4 = 0 1^4 = 1 4^4 = 256

the answer is 0, 1, 5 and 6.

User Aaron Bertrand
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5.7k points