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Answer :
Final answer:
To find the remainder when 43¹⁹⁷ is divided by 197, we can rewrite 43¹⁹⁷ as (43 mod 197)¹⁹⁷ and calculate the remainder when 43 is divided by 197, which is 43.
Explanation:
In this problem, we need to find the remainder when 43¹⁹⁷ is divided by 197. To solve this, we can use the property of modular arithmetic. We know that if two numbers, a and b, are congruent modulo m, then their remainders when divided by m are the same. Therefore, we can rewrite 43¹⁹⁷ as (43 mod 197)¹⁹⁷. Now we just need to calculate the remainder when 43 is divided by 197.
43 ÷ 197 = 0 remainder 43
Therefore, the remainder when 43¹⁹⁷ is divided by 197 is 43.
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