Which property/properties was/were used to generate the equivalent expression 3^14 from 3^5/3^-9
The property used to generate the equivalent expression 3^14 from 3^5/3^-9 is the product of powers property.
According to this property, when dividing powers with the same base, you can subtract the exponents.
So, we can rewrite 3^5/3^-9 as 3^(5-(-9)).
Simplifying the exponent, we have 3^(5+9) which equals 3^14.