Solve 2^-3*(-2)^-4/2^-1*(-2)^-3

$$\frac { 2 ^ { - 3 } \cdot ( - 2 ) ^ { - 4 } } { 2 ^ { - 1 } \cdot ( - 2 ) ^ { - 3 } }$$

Evaluate

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

Solution Steps

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

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

Calculate -2 to the power of 1 and get -2.

$$\frac{1}{-2\times 2^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{1}{-2\times 4}$$

Multiply -2 and 4 to 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

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