Math, asked by pathak13, 1 year ago

hii............pls.....solve

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Answers

Answered by parth15546
1
the units digit will be
3×6×7 =126
therefore units digit of the number given above will be 6 option D

pathak13: tnx
Answered by amankumaraman11
1
Hey There! This is your solution ↓↓↓


3^65 * 6^59 * 7^71
Lets see cycle 
3^1 = 3 , 7^1 = 7
3^2 = 9, 7^2 = 9 
3^3 = 7, 7^3 = 3 
3^4 = 1, 7^4 = 1 
3^5 = 3, 7^5 = 7 
. .
. .
Last digit of 3 & 7 starts to repeat after 4th power in cycle of 4 I.e (3,9,7,1) & (7,9,3,1) 
Power / cycle 
65/4 = 1 remainder 
So 3^65 can be written as 3^1

71/4 = 3 remainder 
So 7^71 can be written as 7^3

Now remember 
6^n = 6 <--- last digit 
So
3^65 * 6^59 * 7^71
= 3^1 * 6 * 7^3 
= 3 * 6 * 3
= 4 <--- last/unit digit.

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