Which expression is correctly developed to use the Product Rule of Exponents?(1 point)
Responses
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
62⋅73
6 superscript 2 baseline times 7 superscript 3 baseline
To correctly use the Product Rule of Exponents, you need to apply the rule to expressions with the same base raised to different exponents.
Here are the options:
1. 327: This expression doesn't involve exponents, so it doesn't apply to the Product Rule of Exponents.
2. 32 superscript 7 baseline: This expression also doesn't involve the same base raised to different exponents.
3. 108⋅108: This expression satisfies the requirements for the Product Rule of Exponents, as both factors have the same base of 10 raised to the exponent of 8. Therefore, 108⋅108 is the correct expression.
4. 10 superscript 8 baseline times 10 superscript 8 baseline: This expression is essentially the same as the previous one and follows the Product Rule of Exponents as well.
5. (52)9: In this expression, the base is 5 squared, not 5. Therefore, it doesn't satisfy the requirements for the Product Rule of Exponents.
6. 62⋅73: This expression doesn't involve the same base raised to different exponents, so it doesn't meet the criteria for the Product Rule of Exponents.