Solve (-2)^5-3^6/(-2)^-1

$$\frac { ( - 2 ) ^ { 5 } - 3 ^ { 6 } } { ( - 2 ) ^ { - 1 } }$$

Evaluate

$$1522$$

Solution Steps

Calculate -2 to the power of 5 and get -32.

$$\frac{-32-3^{6}}{\left(-2\right)^{-1}}$$

Calculate 3 to the power of 6 and get 729.

$$\frac{-32-729}{\left(-2\right)^{-1}}$$

Subtract 729 from -32 to get -761.

$$\frac{-761}{\left(-2\right)^{-1}}$$

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

$$\frac{-761}{-\frac{1}{2}}$$

Divide -761 by -\frac{1}{2} by multiplying -761 by the reciprocal of -\frac{1}{2}.

$$-761\left(-2\right)$$

Multiply -761 and -2 to get 1522.

$$1522$$

Factor

$$2\times 761$$