Which property of exponents was used to generate the equivalent expression 314 from 353−9 ?(1 point)
Responses
only the Product Rule of Exponents
only the Product Rule of Exponents
only the Power Rule of Exponents
only the Power Rule of Exponents
the Property of Negative Exponents and the Product Rule of Exponents
the Property of Negative Exponents and the Product Rule of Exponents
only the Property of Negative Exponents
None of the above options are correct.
The correct answer is: the Power Rule of Exponents.
The original expression 353 - 9 can be written as (3^5) * (3^-9) using the Product Rule of Exponents. Then, by applying the Power Rule of Exponents, we can simplify to 3^(5-9) = 3^-4.
Therefore, the property of exponents used was the Power Rule of Exponents.