Certainly! Let's solve the expression step-by-step:
[tex]\[ [2-3(1-3)] \div 2^2 \][/tex]
1. Simplify inside the parentheses:
[tex]\[ 1 - 3 = -2 \][/tex]
2. Multiply inside the brackets:
[tex]\[ 3 \times (-2) = -6 \][/tex]
3. Subtract within the brackets:
[tex]\[ 2 - (-6) = 2 + 6 = 8 \][/tex]
4. Evaluate the exponent in the denominator:
[tex]\[ 2^2 = 4 \][/tex]
5. Divide the result within the brackets by the evaluated power:
[tex]\[ 8 \div 4 = 2 \][/tex]
So, the final result of the expression [tex]\([2-3(1-3)] \div 2^2\)[/tex] is:
[tex]\[ \boxed{2} \][/tex]
