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

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

Evaluate

$$-\frac{1}{72}\approx -0.013888889$$

Solution Steps

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

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

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

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

Fraction \frac{-1}{3} can be rewritten as -\frac{1}{3} by extracting the negative sign.

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

Calculate -\frac{1}{3} to the power of 2 and get \frac{1}{9}.

$$-\frac{1}{8}+\frac{1}{9}$$

Add -\frac{1}{8} and \frac{1}{9} to get -\frac{1}{72}.

$$-\frac{1}{72}$$

Factor

$$-\frac{1}{72} = -0.013888888888888888$$