What is the remainder of 3 power 2222 when divided by 4
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remainder of 3²²²² when divided by 4 = 1
Step-by-step explanation:
3²²²²
= 3²ˣ¹¹¹¹
= 9¹¹¹¹
= (8 + 1)¹¹¹¹
= 8¹¹¹¹ + ¹¹¹¹C₁8¹¹¹⁰*1¹ +................................................+¹¹¹¹C₁₁₁₀8¹*1¹¹¹⁰ + 1
All terms except last term 1 has 8 as common factor
8 is divisible by 4 completely
Hence remainder = 1
remainder of 3²²²² when divided by 4 = 1
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