Which expression is correctly developed to use the Product Rule of Exponents?(1 point)

The Product Rule of Exponents states that when multiplying two powers with the same base, you can add the exponents. This is expressed as:

\[ a^m \cdot a^n = a^{m+n} \]

Let's analyze the given choices to see which one correctly applies the Product Rule of Exponents:

1. **10 to the power of 8 ⋅ 10 to the power of 8**:
- This can be simplified using the Product Rule:
\[ 10^8 \cdot 10^8 = 10^{8+8} = 10^{16} \]
- This correctly applies the Product Rule.

2. **32 to the power of 7**:
- This does not involve multiplication of two powers; it is just a single term.

3. **6 to the power of 2 ⋅ 73**:
- Here, 73 is not a power of 6, which means no Product Rule can be applied.

4. **(5 to the power of 2) times 9**:
- This expression involves 9, which is not a power of 5. Hence, the Product Rule cannot be applied in this case.

Thus, the only expression that correctly uses the Product Rule of Exponents is:

**10 to the power of 8 ⋅ 10 to the power of 8.**