Evaluate :
`((1)/(2))^(-5)`.

Answer

To evaluate the expression \(\left(\frac{1}{2}\right)^{-5}\), we can follow these steps:

### Step 1: Apply the property of exponents
The property of exponents states that \(a^{-m} = \frac{1}{a^m}\). Therefore, we can rewrite \(\left(\frac{1}{2}\right)^{-5}\) as:
\[ \left(\frac{1}{2}\right)^{-5} = \frac{1}{\left(\frac{1}{2}\right)^5} \]

### Step 2: Calculate \(\left(\frac{1}{2}\right)^5\)
Now we need to calculate \(\left(\frac{1}{2}\right)^5\):
\[ \left(\frac{1}{2}\right)^5 = \frac{1^5}{2^5} = \frac{1}{32} \]

### Step 3: Substitute back into the expression
Now we substitute \(\left(\frac{1}{2}\right)^5\) back into our expression:
\[ \left(\frac{1}{2}\right)^{-5} = \frac{1}{\left(\frac{1}{2}\right)^5} = \frac{1}{\frac{1}{32}} = 32 \]

### Final Answer
Thus, the value of \(\left(\frac{1}{2}\right)^{-5}\) is:
\[ \boxed{32} \]

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