Question

What is the remainder of 3 power 2222 when divided by 4

Answer 1

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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