Which property of exponents was used to generate the equivalent expression 3^14 from 3^5/3^−9,.

1 answer

The property of exponents used to generate the equivalent expression 3^14 from 3^5/3^−9 is the quotient rule of exponents. According to this rule, when dividing two expressions with the same base, you subtract the exponents. Therefore, 3^5/3^−9 is equal to 3^(5 - (-9)) = 3^14.