Solve -3-2^3+7-2^2+5-2-1

$$-3 { -2 }^{ 3 } +7 { -2 }^{ 2 } +5-2-1$$

Evaluate

$$54$$

Solution Steps

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

$$-3\left(-8\right)+7\left(-2\right)^{2}+5-2-1$$

Multiply -3 and -8 to get 24.

$$24+7\left(-2\right)^{2}+5-2-1$$

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

$$24+7\times 4+5-2-1$$

Multiply 7 and 4 to get 28.

$$24+28+5-2-1$$

Add 24 and 28 to get 52.

$$52+5-2-1$$

Add 52 and 5 to get 57.

$$57-2-1$$

Subtract 2 from 57 to get 55.

$$55-1$$

Subtract 1 from 55 to get 54.

$$54$$

Factor

$$2\times 3^{3}$$