Question

96. The number in the unit place in (623)36
is -
(A) 3
(B) 9
(D) 7
(C)
1​

Answer 1

The required "option is (C) 1".

Step-by-step explanation:

We have,

$(623)^{36}$

The unit place of $(623)^{36}$ = $(3)^{36}$

= $(3^{4} )^{9}$ [Since, tex](a^{m} )^{n}[/tex] =$a^{mn}$]

We know that,

$3^{1}$ = 3, Unit place = 3

$3^{2}$ = 9, Unit place = 9

$3^{3}$ = 27, Unit place = 7

$3^{4}$ = 81, Unit place = 1

= $(3)^{36}$

= 1, Option(C)

Hence, the number in the unit place in "$(623)^{36}$ is 1".