what is the no in the unit place in 623 raised to the power 39 Please tell me

62339

It is the last digit of the base which decides the units place digit of the number. Since, the last digit of the number is 3 and the cyclicity of 3 is 4, so we find (59/4) which gives a remainder of 3. So the unit digit of 62339 will be the same as the last digit of 33, i.e. 7.

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