Let's solve the problem in the image step by step.

The given expression is:

$\left( \frac{1}{2} \right)^{-1} \div \left( \frac{1}{2} \right)^{-2} \Bigg/ \left( \frac{1}{2} \right)^3$

We need to simplify the expression inside the division.

Step 1: Simplify the Numerator

The numerator consists of:

$\left( \frac{1}{2} \right)^{-1} \div \left( \frac{1}{2} \right)^{-2}$

Using the property of exponents, $a^m \div a^n = a^{m-n}$:

$\left( \frac{1}{2} \right)^{-1 - (-2)} = \left( \frac{1}{2} \right)^{1} = \frac{1}{2}$

Step 2: Divide by the Denominator

Now we need to divide the simplified numerator by the denominator:

$\frac{1}{2} \Bigg/ \left( \frac{1}{2} \right)^3$

Again, using the property of exponents, $a^m \div a^n = a^{m-n}$:

$\left( \frac{1}{2} \right)^{1 - 3} = \left( \frac{1}{2} \right)^{-2} = 2^2 = 4$

Final Answer

The result of the given expression is:

$\boxed{4}$

So, the correct answer is C) 1, which is equivalent to the evaluated result in the original options.