8^(2022) = a mod(100) a=?


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Question Number 203354 by SEKRET last updated on 17/Jan/24

$8^{2022} = a \mod (100) a = ?$
	Answered by Rasheed.Sindhi last updated on 17/Jan/24

	$C a n b e o b s e r v e d a f t e r s o m e$ $e x p e r i m e n t s t h a t :$ $8^{r + 20 q} \equiv 8^{r} (m o d 100)$ $r + 20 q = 2022 = 2 + 20 \times 100$ $8^{2022} = 8^{2 + 20 \times 100} \equiv 8^{2} = 64 (m o d 100)$
	Commented by SEKRET last updated on 17/Jan/24

	Thank you sir. I will wait for other solutions
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