Respuesta :
9*9 = 81 , 81*9 = 729, 729*9 = 8561, 8561 *9 = 59049 and so on
9^2 9^3 9^4 9^5
So the result of each multiplication is either 1 or 9 in the units digits
Even exponents give a 1 and odd give a 9 so 9^387 will have a units digit of
9.
9^2 9^3 9^4 9^5
So the result of each multiplication is either 1 or 9 in the units digits
Even exponents give a 1 and odd give a 9 so 9^387 will have a units digit of
9.
Unit digit will be 9 .
We know that,
[tex]9^{1} =9\\\\9^{2}=81\\\\9^{3} =729\\\\9^{4}=6561[/tex]
We observed that, when power of 9 is odd number then unit digit is 9 and when the power of 9 is even number then unit digit is 1.
In [tex]9^{387}[/tex] , power is 387 which is an odd number.
Hence, unit digit of [tex]9^{387}[/tex] will be 9.
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