Wich property of exponents was used to generate the equivalent exponents 3^14from 3^5/3^-9

1 answer

The property of exponents used to generate the equivalent exponents 3^14 from 3^5/3^-9 is the quotient rule of exponents.

According to the quotient rule, when dividing two numbers with the same base, you subtract the exponents. Therefore, in this case, we have:

3^5 / 3^-9 = 3^(5 - (-9)) = 3^14