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

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

Evaluate

$$5$$

Solution Steps

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

$$2\left(-8\right)+4\left(-2\right)^{2}-\left(-2\right)+3$$

Multiply 2 and -8 to get -16.

$$-16+4\left(-2\right)^{2}-\left(-2\right)+3$$

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

$$-16+4\times 4-\left(-2\right)+3$$

Multiply 4 and 4 to get 16.

$$-16+16-\left(-2\right)+3$$

Add -16 and 16 to get 0.

$$0-\left(-2\right)+3$$

The opposite of -2 is 2.

$$0+2+3$$

Add 0 and 2 to get 2.

$$2+3$$

Add 2 and 3 to get 5.

$$5$$

Factor

$$5$$