Which of the following is an equivalent expression to 14^−7\9^−13 with only positive exponents, generated by applying the Property of Negative Integer Exponents?
9^13\14^7
1\9^13 ⋅14^−7
14^7\9^13
14^−7⋅9^13
1\9^13 ⋅14^−7
To find an equivalent expression with only positive exponents, we can use the Property of Negative Integer Exponents which states that a^(-n) is equal to 1/a^n.
Starting with the given expression 14^(-7)/9^(-13), we can apply the property as follows:
14^(-7)/9^(-13) = 1/14^7 * 1/9^13
So, the equivalent expression with only positive exponents is 1/14^7 * 1/9^13 or written as: 1/(14^7 * 9^13)