Solve F(-2)=2(-2)^4-(-2)^3-2(-2)-46

$$F ( - 2 ) = 2 ( - 2 ) ^ { 4 } - ( - 2 ) ^ { 3 } - 2 ( - 2 ) - 46$$

Evaluate

$$-2$$

Solution Steps

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

$$2\times 16-\left(-2\right)^{3}-2\left(-2\right)-46$$

Multiply 2 and 16 to get 32.

$$32-\left(-2\right)^{3}-2\left(-2\right)-46$$

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

$$32-\left(-8\right)-2\left(-2\right)-46$$

The opposite of -8 is 8.

$$32+8-2\left(-2\right)-46$$

Add 32 and 8 to get 40.

$$40-2\left(-2\right)-46$$

Multiply 2 and -2 to get -4.

$$40-\left(-4\right)-46$$

The opposite of -4 is 4.

$$40+4-46$$

Add 40 and 4 to get 44.

$$44-46$$

Subtract 46 from 44 to get -2.

$$-2$$

Factor

$$-2$$