#### Answer

$23$

#### 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)
$[15 \div (11-6) + 2^2] + (5-1)^2 = [15 \div 5 + 2^2] + (5-1)^2 = [15 \div 5 + 4] + (5-1)^2 = [3+4] +(5-1)^2 = 7+(5-1)^2 = 7+4^2 = 7+16 = 23$