Remainder when 64^ 32^ 32 is divided by 9 is equal to ...........… - Vidyadip

MCQ

Remainder when $ 64^{32^{32}}$ is divided by $9$ is equal to .........................

A
$5$
B
$4$
C
$8$
✓
$1$

✓

Answer

Correct option: D.

$1$

d
Let $32^{32}=\mathrm{t}$

$ 64^{32^{32}}=64^t=8^{2 t}=(9-1)^{2 \mathrm{t}} $

$ =9 \mathrm{k}+1$

Hence remainder $=1$

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