Solve 7(-2)^4-2(-6)^2+3(-2)

$$7 ( - 2 ) ^ { 4 } - 2 ( - 6 ) ^ { 2 } + 3 ( - 2 )$$

Evaluate

$$34$$

Solution Steps

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

$$7\times 16-2\left(-6\right)^{2}+3\left(-2\right)$$

Multiply 7 and 16 to get 112.

$$112-2\left(-6\right)^{2}+3\left(-2\right)$$

Calculate -6 to the power of 2 and get 36.

$$112-2\times 36+3\left(-2\right)$$

Multiply 2 and 36 to get 72.

$$112-72+3\left(-2\right)$$

Subtract 72 from 112 to get 40.

$$40+3\left(-2\right)$$

Multiply 3 and -2 to get -6.

$$40-6$$

Subtract 6 from 40 to get 34.

$$34$$

Factor

$$2\times 17$$