Let's break down the expression step by step to find the result:
[tex]\[ 42 - 2^3 \div 2^5 \][/tex]
Step 1: Compute the exponents first.
1. Calculate [tex]\(2^3\)[/tex]:
[tex]\[2^3 = 2 \times 2 \times 2 = 8\][/tex]
2. Calculate [tex]\(2^5\)[/tex]:
[tex]\[2^5 = 2 \times 2 \times 2 \times 2 \times 2 = 32\][/tex]
Now the expression becomes:
[tex]\[42 - \frac{8}{32}\][/tex]
Step 2: Perform the division.
[tex]\[ \frac{8}{32} = 0.25 \][/tex]
So, the expression is now:
[tex]\[42 - 0.25\][/tex]
Step 3: Perform the subtraction.
[tex]\[42 - 0.25 = 41.75\][/tex]
Thus, the value of the given expression is:
[tex]\[ \boxed{41.75} \][/tex]
