If `25^(15)` is divided by 13, then the remainder is .....

Explanation

To find the remainder when \( 25^{15} \) is divided by 13, we can use the Binomial Theorem. Here's a step-by-step solution:

### Step 1: Rewrite the base
We start by rewriting \( 25 \) in a form that is easier to work with modulo \( 13 \):
\[ 25 \equiv 26 - 1 \mod 13 \]
So, we can express \( 25^{15} \) as:
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