Which property of exponents was used to generate the equivalent expression 3^14 from 3^5/3^−9?(1 point)
Responses
only the Property of Negative Exponents
only the Property of Negative Exponents
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 answer is "only the Power Rule of Exponents".
This is because the Power Rule of Exponents states that when you have a power raised to another power (in this case, 3^5 raised to the power of -9), you can multiply the exponents to find the new exponent.
In this case, 3^5/3^(-9) can be rewritten as 3^(5 + (-9)), which simplifies to 3^(-4).
To generate the equivalent expression 3^14, the exponent 14 is derived by applying the power rule: 3^(-4) raised to the power of -14 is equal to 3^(14).