Solve (-2)^-2*(-2)^3:(-2)^4

$$( - 2 ) ^ { - 2 } \cdot ( - 2 ) ^ { 3 } : ( - 2 ) ^ { 4 }$$

Evaluate

$$-\frac{1}{8}=-0.125$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -2 and 3 to get 1.

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

Rewrite \left(-2\right)^{4} as \left(-2\right)^{1}\left(-2\right)^{3}. Cancel out \left(-2\right)^{1} in both numerator and denominator.

$$\frac{1}{\left(-2\right)^{3}}$$

Calculate -2 to the power of 3 and get -8.

$$\frac{1}{-8}$$

Fraction \frac{1}{-8} can be rewritten as -\frac{1}{8} by extracting the negative sign.

$$-\frac{1}{8}$$

Factor

$$-\frac{1}{8} = -0.125$$