Answer
$12$
Work Step by Step
Solve using PEMDAS (The priority list for solving expressions: Parentheses, exponents, [multiplication, division], [addition, subtraction]. For the operations in the brackets, solve from left to right)
$\dfrac{3+9^2}{3(10-6)-2^2-1} = \dfrac{3+9^2}{3\cdot 4-2^2-1} = \dfrac{3+81}{3\cdot 4-4-1} = \dfrac{3+81}{12-4-1} = \dfrac{84}{7} = 12$