(-4)^-3

To calculate \((-4)^{-3}\), we first apply the rule of negative exponents, which states that \(a^{-n} = \frac{1}{a^n}\).

So, we have:

\[ (-4)^{-3} = \frac{1}{(-4)^3} \]

Now, we need to calculate \((-4)^3\):

\[ (-4)^3 = -4 \times -4 \times -4 = 16 \times -4 = -64 \]

Now substituting this back, we have:

\[ (-4)^{-3} = \frac{1}{-64} \]

Thus,

\[ (-4)^{-3} = -\frac{1}{64} \]

So, the final answer is:

\[ -\frac{1}{64} \]