Question

Which property of exponents was used to generate the equivalent expression 314 from (3 ^ 5)/(3 ^ - 9) ?

Answer 1

The property used is the rule of exponents that states:

a^(m-n) = a^m / a^n

In this case, we can apply this rule to the expression (3^5) / (3^-9):

(3^5) / (3^-9) = 3^(5 - (-9)) = 3^(5 + 9) = 3^14 = 314