The problem is to evaluate the expression $100 - \{160 - 6[2 + 3(2^2)]\}$. This requires following the order of operations (PEMDAS/BODMAS).

1. Problem Description

The problem is to evaluate the expression $100 - \{160 - 6[2 + 3(2^2)]\}$. This requires following the order of operations (PEMDAS/BODMAS).

2. Solution Steps

First, evaluate the exponent within the innermost parentheses:

$2^2 = 4$

Next, evaluate the expression within the innermost brackets:

$2 + 3(4) = 2 + 12 = 14$

Then, evaluate the expression within the square brackets:

$6[14] = 6 \times 14 = 84$

Next, evaluate the expression within the curly braces:

$160 - 84 = 76$

Finally, perform the subtraction:

$100 - 76 = 24$

3. Final Answer

24