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What will be the remainder when (265)⁴⁰⁸¹ + 9 is divided by 266?
a. 8
b. 6
c. 1
d. 9?
Most Upvoted Answer
What will be the remainder when (265)⁴⁰⁸¹ + 9 is divided by 266?a. 8b....
Given Problem:
Find the remainder when (265)^4081 + 9 is divided by 266.

Solution:

Step 1: Understanding the Problem
We need to find the remainder when the expression (265)^4081 + 9 is divided by 266.

Step 2: Using Modular Arithmetic
We can use modular arithmetic to simplify the problem.
Since 266 ≡ 0 (mod 266), we can replace 266 with 0 in the expression.
(265)^4081 + 9 ≡ (-1)^4081 + 9 ≡ -1 + 9 ≡ 8 (mod 266)

Step 3: Calculating the Remainder
Therefore, the remainder when (265)^4081 + 9 is divided by 266 is 8.

Final Answer:
The correct answer is option a. 8.
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What will be the remainder when (265)⁴⁰⁸¹ + 9 is divided by 266?a. 8b. 6c. 1d. 9?
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