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What is the last digit of 2023^2023
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This is a question to celebrate the New Year 2023 and hope good things will happen.
2023^2023 is 1070707......884567
6689 decimal digits
1.07.... x 10^6688
But how do we find the last digit 7
we know a number ending in 3 to the power of and integer is 3^0=1 , 3^1=3 , 3^2=9 , 3^3=27
so 0+4k ends in 1 , 1+4k ends in 3 , 2+4k ends in 9 , 3+4k ends in 7 .
2023 is congruent with 3 mod 4 so the answer will be 7
#indices
#अनुक्रमणिका
#インディス
#指數
#mathstricks
#mathmemes
#mathmesvidéos
#numbertheory
#إنديس
#Indiz
2023^2023 is 1070707......884567
6689 decimal digits
1.07.... x 10^6688
But how do we find the last digit 7
we know a number ending in 3 to the power of and integer is 3^0=1 , 3^1=3 , 3^2=9 , 3^3=27
so 0+4k ends in 1 , 1+4k ends in 3 , 2+4k ends in 9 , 3+4k ends in 7 .
2023 is congruent with 3 mod 4 so the answer will be 7
#indices
#अनुक्रमणिका
#インディス
#指數
#mathstricks
#mathmemes
#mathmesvidéos
#numbertheory
#إنديس
#Indiz
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