Find the remainder when 751 is divided by 144.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Problem 2: Modular Arithmetic**

Find the remainder when \( 7^{51} \) is divided by 144.

**Solution Approach:**

To solve this problem, we can utilize modular arithmetic, specifically Euler's Theorem or Fermat's Little Theorem, if applicable. Analyzing the powers and applying relevant theorems will help compute large exponents in manageable steps to find the desired remainder.
Transcribed Image Text:**Problem 2: Modular Arithmetic** Find the remainder when \( 7^{51} \) is divided by 144. **Solution Approach:** To solve this problem, we can utilize modular arithmetic, specifically Euler's Theorem or Fermat's Little Theorem, if applicable. Analyzing the powers and applying relevant theorems will help compute large exponents in manageable steps to find the desired remainder.
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