Find the value of m for which `5^m -: 5^(-3) = 5^5`.

Explanation

To solve the equation \( \frac{5^m}{5^{-3}} = 5^5 \), we will follow these steps:

### Step 1: Rewrite the left-hand side using the properties of exponents.
We know that \( \frac{a^m}{a^n} = a^{m-n} \). Applying this property to our equation:

\[ \frac{5^m}{5^{-3}} = 5^{m - (-3)} = 5^{m + 3} \]
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