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# 2002^2002

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2002^2002. Last week I took a test and I got this question 20002^2002. The question didn't ask for the result, it ask for the last number of 2002^2002. The options are : A.0 B.2 C.4 D.8. I answered C.4. Am I right or not?

Mar 22, 2015

### Best Answer

#1
+94618
+5

Note the pattern.......

2^1  = 2

2^2  = 4

2^3  = 8

2^4 = 16     and then this pattern of the ending digit starts all over again

So, dividing 2002 by 4, we have   500 + 2/4    ....this tells us that the number will end with the second digit in the pattern, i.e., .....  4

You are correct  !!!!!

Mar 22, 2015

### 1+0 Answers

#1
+94618
+5
Best Answer

Note the pattern.......

2^1  = 2

2^2  = 4

2^3  = 8

2^4 = 16     and then this pattern of the ending digit starts all over again

So, dividing 2002 by 4, we have   500 + 2/4    ....this tells us that the number will end with the second digit in the pattern, i.e., .....  4

You are correct  !!!!!

CPhill Mar 22, 2015

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