Final answer:
To solve the exponential equation 3^-2 = 1/9, we can rewrite 3^-2 as (1/3)^2 and set the exponents equal to each other. The equation is true.
Step-by-step explanation:
The given equation is 3-2 = 1/9.
To solve this equation, we can rewrite 3-2 as (1/3)2. Now we have (1/3)2 = 1/9.
Since both sides of the equation have the same base (1/3), we can set the exponents equal to each other.
2 = 2, so the equation is true.