use the properties of eponts to simplfiy the expresion below -2^-5

To simplify the expression \(-2^{-5}\), we can use the properties of exponents.

1. **Negative Exponent Rule**: \(a^{-n} = \frac{1}{a^n}\)

Using this rule, we can rewrite \(-2^{-5}\) as:

\[
-2^{-5} = -\frac{1}{2^5}
\]

2. Next, we need to calculate \(2^5\):

\[
2^5 = 32
\]

3. Substituting this back into the expression gives:

\[
-2^{-5} = -\frac{1}{32}
\]

Thus, the simplified form of \(-2^{-5}\) is:

\[
-\frac{1}{32}
\]