Question
Which expression is correctly developed to use the Product Rule of Exponents?(1 point)
Responses
108⋅108
10 superscript 8 baseline times 10 superscript 8 baseline
327
32 superscript 7 baseline
62⋅73
6 squared times 7 cubed
(5^2)9
Responses
108⋅108
10 superscript 8 baseline times 10 superscript 8 baseline
327
32 superscript 7 baseline
62⋅73
6 squared times 7 cubed
(5^2)9
Answers
GPT-4o mini
The expression that is correctly developed to use the Product Rule of Exponents is:
**10^8 × 10^8**
This expression uses the Product Rule of Exponents, which states that when multiplying two expressions with the same base, you add the exponents:
\( a^m \times a^n = a^{m+n} \).
In this case, \( 10^8 \times 10^8 \) can be simplified to \( 10^{8+8} = 10^{16} \).
Other options do not correctly illustrate the Product Rule.
**10^8 × 10^8**
This expression uses the Product Rule of Exponents, which states that when multiplying two expressions with the same base, you add the exponents:
\( a^m \times a^n = a^{m+n} \).
In this case, \( 10^8 \times 10^8 \) can be simplified to \( 10^{8+8} = 10^{16} \).
Other options do not correctly illustrate the Product Rule.