The units digit in 126^126 – 4 is
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Step-by-step explanation:
Given :-
126^126 – 4
To find :-
Find the unit digit in the given number ?
Solution :-
Given number = 126^126 – 4
On taking 126^126
To know the unit digit of 126^126 First we have to know the unit digit of 6^126
We know that
6^1 = 6
Unit digit in 6^1 = 6
6^2 = 6×6 = 36
Unit digit in 6^2 = 6
6^3 = 6×6×6 = 216
Unit digit in 6^3 = 6
If we continue like this we get 6 as the unit digit for every positive number for n in 6^n
So
We get that
The unit digit in 6^126 = 6
So, The unit digit in 126^126 = 6
Now given that
126^126 - 4
The unit digit of 126^126-4
=> 6-4
=> 2
The unit digit = 2
Answer:-
The unit digit in the given number 126^126-4 is 2
Used formulae:-
- the unit digit for every positive number for n in 6^n is always 6
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