Which property of exponents was used to generate the equivalent expression 314 from 353−9?(1 point)

Question

Responses

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 Product Rule of Exponents
only the Product Rule of Exponents

only the Property of Negative Exponents

Answer 1

To generate the equivalent expression \( 314 \) from \( 353 - 9 \), the transformation involves using the Property of Negative Exponents. Specifically, \( 353 - 9 \) can be interpreted as \( 353 / 39 \), which simplifies to \( 3^{14} \).

This means we used the Property of Negative Exponents to recognize that subtracting the exponent, as in \( a^m - a^n \), corresponds to dividing the bases when the bases are the same.

Thus, the appropriate response is:

the Property of Negative Exponents and the Product Rule of Exponents.