Solve [(-2)^15+(-2)^12]:[(-2)^11+(-2)^12]

$$[ ( - 2 ) ^ { 15 } + ( - 2 ) ^ { 12 } ] : [ ( - 2 ) ^ { 11 } + ( - 2 ) ^ { 12 } ]$$

Evaluate

$$-14$$

Solution Steps

Calculate -2 to the power of 15 and get -32768.

$$\frac{-32768+\left(-2\right)^{12}}{\left(-2\right)^{11}+\left(-2\right)^{12}}$$

Calculate -2 to the power of 12 and get 4096.

$$\frac{-32768+4096}{\left(-2\right)^{11}+\left(-2\right)^{12}}$$

Add -32768 and 4096 to get -28672.

$$\frac{-28672}{\left(-2\right)^{11}+\left(-2\right)^{12}}$$

Calculate -2 to the power of 11 and get -2048.

$$\frac{-28672}{-2048+\left(-2\right)^{12}}$$

Calculate -2 to the power of 12 and get 4096.

$$\frac{-28672}{-2048+4096}$$

Add -2048 and 4096 to get 2048.

$$\frac{-28672}{2048}$$

Divide -28672 by 2048 to get -14.

$$-14$$

Factor

$$-14$$