Problem

Evaluate.
\[
\frac{\left(18-4^{2}+2\right)^{2}}{1 \div 4 \cdot \frac{1}{2}}
\]
2
32
64
128

Answer

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Answer

So, the result of the expression is \(\boxed{128}\).

Steps

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 \(\boxed{128}\).

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