Solve (-1/2)^3-2*(-1/2)^2+3*(-1/2)+1

$$( - \frac { 1 } { 2 } ) ^ { 3 } - 2 \cdot ( \frac { - 1 } { 2 } ) ^ { 2 } + 3 \cdot ( \frac { - 1 } { 2 } ) + 1$$

Evaluate

$$-\frac{9}{8}=-1.125$$

Solution Steps

Calculate -\frac{1}{2} to the power of 3 and get -\frac{1}{8}.

$$-\frac{1}{8}-2\times \left(\frac{-1}{2}\right)^{2}+3\times \frac{-1}{2}+1$$

Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

$$-\frac{1}{8}-2\left(-\frac{1}{2}\right)^{2}+3\times \frac{-1}{2}+1$$

Calculate -\frac{1}{2} to the power of 2 and get \frac{1}{4}.

$$-\frac{1}{8}-2\times \frac{1}{4}+3\times \frac{-1}{2}+1$$

Multiply 2 and \frac{1}{4} to get \frac{1}{2}.

$$-\frac{1}{8}-\frac{1}{2}+3\times \frac{-1}{2}+1$$

Subtract \frac{1}{2} from -\frac{1}{8} to get -\frac{5}{8}.

$$-\frac{5}{8}+3\times \frac{-1}{2}+1$$

Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

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

Multiply 3 and -\frac{1}{2} to get -\frac{3}{2}.

$$-\frac{5}{8}-\frac{3}{2}+1$$

Subtract \frac{3}{2} from -\frac{5}{8} to get -\frac{17}{8}.

$$-\frac{17}{8}+1$$

Add -\frac{17}{8} and 1 to get -\frac{9}{8}.

$$-\frac{9}{8}$$

Factor

$$-\frac{9}{8} = -1\frac{1}{8} = -1.125$$