Solve (-2)^3*(-8)^2/(-4)^5

$$\frac { ( - 2 ) ^ { 3 } \cdot ( - 8 ) ^ { 2 } } { ( - 4 ) ^ { 5 } }$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

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

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

Calculate -8 to the power of 2 and get 64.

$$\frac{-8\times 64}{\left(-4\right)^{5}}$$

Multiply -8 and 64 to get -512.

$$\frac{-512}{\left(-4\right)^{5}}$$

Calculate -4 to the power of 5 and get -1024.

$$\frac{-512}{-1024}$$

Reduce the fraction \frac{-512}{-1024} to lowest terms by extracting and canceling out -512.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$