If `7^(103)` is divided by 25 , find the remainder .

Explanation

To find the remainder when \( 7^{103} \) is divided by 25, we can use the Binomial Theorem and properties of modular arithmetic. Here’s a step-by-step solution:

### Step 1: Rewrite the expression
We can express \( 7^{103} \) as \( (7^2)^{51} \times 7 \):
\[ 7^{103} = 7^{102} \times 7 = (7^2)^{51} \times 7 \]

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