(13)^ 507 when divided by 9 leaves the remainder :- - Vidyadip

MCQ

$(13)^{507}$ when divided by $9$ leaves the remainder :-

✓
$1$
B
$4$
C
$5$
D
$7$

✓

Answer

Correct option: A.

$1$

a
$(13)^{507}=(9+4)^{507}$

Remainder $=4^{507}=\left(4^{3}\right)^{169}=(63+1)^{169}$

so remainder $=1$

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