Solve (18(-2)^4-12(2))e^-(2)^3

$$( 18 ( - 2 ) ^ { 4 } - 12 ( 2 ) ) e ^ { - ( 2 ) ^ { 3 } }$$

Evaluate

$$\frac{264}{e^{8}}\approx 0.088562134$$

Solution Steps

Calculate -2 to the power of 4 and get 16.

$$\left(18\times 16-12\times 2\right)e^{-2^{3}}$$

Multiply 18 and 16 to get 288.

$$\left(288-12\times 2\right)e^{-2^{3}}$$

Multiply 12 and 2 to get 24.

$$\left(288-24\right)e^{-2^{3}}$$

Subtract 24 from 288 to get 264.

$$264e^{-2^{3}}$$

Calculate 2 to the power of 3 and get 8.

$$264e^{-8}$$