Which property of exponents was used to generate the equivalent expression 3 ^ 14 from (3 ^ 5)/(3 ^ 0) * (1 point) the Property of Negative Exponents and the Product Rule of Exponents only the Power Rule of Exponents only the Property of Negative Exponents only the Product Rule of Exponents
The property of negative exponents was used to generate the equivalent expression 3^14 from (3^5)/(3^0).
The Property of Negative Exponents was used to generate the equivalent expression 3^14 from (3^5)/(3^0).
To simplify the expression (3^5)/(3^0), we can use the Property of Negative Exponents, which states that a number raised to the power of zero is equal to 1. Therefore, we have 3^0 = 1.
So, the expression now becomes (3^5)/(1) = 3^5.
To further simplify the expression, we can use the Product Rule of Exponents, which states that when dividing two numbers with the same base, we subtract the exponents. Therefore, we have 3^5 = 3^(5-0) = 3^5.
Hence, the property of exponents used to generate the equivalent expression 3^14 from (3^5)/(3^0) is the Property of Negative Exponents and the Product Rule of Exponents.