Problem
Evaluate. \[ \frac{\left(18-4^{2}+2\right)^{2}}{1 \div 4 \cdot \frac{1}{2}} \] 2 32 64 128
Solution
Step 1 ：Calculate \(4^2\), which is 16.
Step 2 ：Subtract 16 from 18, which gives 2.
Step 3 ：Add 2 to the result, which gives 4.
Step 4 ：Square 4, which gives 16. So, the numerator is 16.
Step 5 ：Divide 1 by 4, which gives 0.25.
Step 6 ：Multiply 0.25 by 1/2, which gives 0.125. So, the denominator is 0.125.
Step 7 ：Finally, divide the numerator by the denominator. \(16 ÷ 0.125 = 128\).
Step 8 ：So, the result of the expression is \(\boxed{128}\).
