Find the unit digit in 74^99
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Answer:
6 is the answer
Step-by-step explanation:
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Concept:
The digit in a number's place one is known as the units digit. i.e. It is the digit that comes last in the number. For instance, the unit digit for 277 is 7 whereas for 75 it is 5.
Given:
We have given a number 74^99
Find:
We have to find the unit digit in 74^99
Solution:
Given number= 74^99
Unit place = 4
For digit 4 we have a rule that 4 to the power any odd number will get resultant with the unit place as 4. And 4 to the power any even number will get resultant with the unit place as 6.
So, in the given number= 74^99
99 is an odd number so 4 to the power odd number will get resultant with the unit placed as 4.
Hence, the unit digit in 74^99 is 4.
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