When is the result positive in a negative power?

A result is positive in a negative power when the base is a negative number and the exponent is an even integer. For example, ((-2)^{-2} = \frac{1}{(-2)^2} = \frac{1}{4}), which is positive. In contrast, if the exponent is an odd integer, the result will be negative. Thus, the sign of the result depends on the base and the parity of the exponent.