Solve (3/5)^0-(1/3)^1+2*(-1/2)^3=

$$( \frac { 3 } { 5 } ) ^ { 0 } - ( \frac { 1 } { 3 } ) ^ { 1 } + 2 \cdot ( - \frac { 1 } { 2 } ) ^ { 3 } =$$

Evaluate

$$\frac{5}{12}\approx 0.416666667$$

Solution Steps

Calculate \frac{3}{5} to the power of 0 and get 1.

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

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

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

Subtract \frac{1}{3} from 1 to get \frac{2}{3}.

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

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

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

Multiply 2 and -\frac{1}{8} to get -\frac{1}{4}.

$$\frac{2}{3}-\frac{1}{4}$$

Subtract \frac{1}{4} from \frac{2}{3} to get \frac{5}{12}.

$$\frac{5}{12}$$

Factor

$$\frac{5}{2 ^ {2} \cdot 3} = 0.4166666666666667$$