The last digit

Find last digit of (2004)⁵ is?

4 Answers

I hope I am correct....

2004=2000 + 4 .......So last digits of (2004)⁵ and 4⁵ must be same.

106

Asish Mahapatra ·2009-01-16 23:35:13

last digit of 2004^5 is same as that of 4^5 which is 4

ya right

another way
knowing the last digit is same as knowing the remainder upon division by 10
2004=4(mod10)
2004⁵=4⁵(mod10)
4⁵=4(mod10)
so last digit is 4

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