simplify. rewrite the expression in the form 9^n. (9^(-3))(9^12) =

Explanation:

Step1: Use exponent - product rule

According to the rule (a^m\times a^n=a^{m + n}), where (a = 9), (m=-3), and (n = 12). So, (9^{-3}\times9^{12}=9^{-3 + 12}).

Step2: Calculate the exponent

(-3+12 = 9). So, (9^{-3 + 12}=9^{9}).

Answer:

(9^{9})