Prove by mathematical induction that `n^(5)` and n have the same unit digit for any natural number n.

Explanation

To prove by mathematical induction that \( n^5 \) and \( n \) have the same unit digit for any natural number \( n \), we will follow these steps:

### Step 1: Base Case
We will first check the base case for \( n = 1 \).

\[ 1^5 = 1 \quad \text{and} \quad 1 \quad \text{(same unit digit)} \]
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