#### Answer

$8$

#### 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)
$[13 \div (20-7) + 2^5] - (2+3)^2 = [13 \div 13 + 2^5] - (2+3)^2 = [13 \div 13 + 32] - (2+3)^2 = [1+32]-(2+3)^2 = 33-(2+3)^2 = 33-5^2 = 33-25 = 8$