Question

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

62⋅73
6 squared times 7 cubed

327
32 superscript 7 baseline

108⋅108
10 superscript 8 baseline times 10 superscript 8 baseline

(52)9
left parenthesis 5 squared right parenthesis superscript 9 baseline

Answer 1

The expression that is correctly developed to use the Product Rule of Exponents is:

**\( 10^8 \cdot 10^8 \)**

This expression uses the Product Rule of Exponents, which states that when multiplying two exponents with the same base, you can add the exponents.

However, if we are looking for the best representation of the Product Rule, the other expressions do not clearly indicate the use of the rule as they are not structured to show multiplication of like bases.

For clarity:
- \( 6^2 \cdot 7^3 \) is not an application of the Product Rule, as it has different bases.
- \( 3^2 \cdot 7 \) is incorrect since it doesn't present the Product Rule properly.
- \( (5^2)^9 \) uses the Power Rule instead, not the Product Rule.

So, the best answer reflecting proper use of the Product Rule given in the responses is indeed **\( 10^8 \cdot 10^8 \)**, considering it's twice the same base that could be summed as \( 10^{8+8} = 10^{16} \).