Solve (-2)^-3-(5)^-2+(-2)^-4

$$( - 2 ) ^ { - 3 } - ( 5 ) ^ { - 2 } + ( - 2 ) ^ { - 4 }$$

Evaluate

$$-\frac{41}{400}=-0.1025$$

Solution Steps

Calculate -2 to the power of -3 and get -\frac{1}{8}.

$$-\frac{1}{8}-5^{-2}+\left(-2\right)^{-4}$$

Calculate 5 to the power of -2 and get \frac{1}{25}.

$$-\frac{1}{8}-\frac{1}{25}+\left(-2\right)^{-4}$$

Subtract \frac{1}{25} from -\frac{1}{8} to get -\frac{33}{200}.

$$-\frac{33}{200}+\left(-2\right)^{-4}$$

Calculate -2 to the power of -4 and get \frac{1}{16}.

$$-\frac{33}{200}+\frac{1}{16}$$

Add -\frac{33}{200} and \frac{1}{16} to get -\frac{41}{400}.

$$-\frac{41}{400}$$

Factor

$$-\frac{41}{400} = -0.1025$$