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Find the units digit of 22^22*11^11

 Jul 4, 2022
 #1
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+1

22^22 * 11^11  =

 

[ 2 * 11 ] ^22 * 11^11  =

 

2^22 *  11^22 * 11^33  =

 

2^22 *  11^33

 

2^1 = 2

2^2 = 4

2^3 = 8

2^4 = 16    and repeats in a cycle of four

 

2^22 will end  in  a 4

11^any positive integer power ends in a 1

 

So

22^22 * 11^11   ends in  a  4

 

 

cool cool cool cool

 Jul 4, 2022

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