explain how 3^2/3^-1 simplified equals 27

Answer 1

When evaluating the expression 3^2/3^-1, we can simplify it by using the rule of exponents (a^m/a^n = a^(m-n)).

First, we simplify 3^2 as 3*3 = 9.
Then, we simplify 3^-1 as 1/3 (because a^(-n) = 1/a^n).

So, 3^2/3^-1 becomes 9/(1/3), which can be simplified as 9 * 3 = 27.

Therefore, 3^2/3^-1 simplifies to 27.