Solve sqrt[3]{1-19/27}+(3/5-5^2)*(-5/7)

$$\sqrt[3]{ 1- \frac{ 19 }{ 27 } } +( \frac{ 3 }{ 5 } - { 5 }^{ 2 } ) \times (- \frac{ 5 }{ 7 } )$$

Evaluate

$$\frac{380}{21}\approx 18.095238095$$

Solution Steps

Subtract \frac{19}{27} from 1 to get \frac{8}{27}.

$$\sqrt[3]{\frac{8}{27}}+\left(\frac{3}{5}-5^{2}\right)\left(-\frac{5}{7}\right)$$

Calculate \sqrt[3]{\frac{8}{27}} and get \frac{2}{3}.

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

Calculate 5 to the power of 2 and get 25.

$$\frac{2}{3}+\left(\frac{3}{5}-25\right)\left(-\frac{5}{7}\right)$$

Subtract 25 from \frac{3}{5} to get -\frac{122}{5}.

$$\frac{2}{3}-\frac{122}{5}\left(-\frac{5}{7}\right)$$

Multiply -\frac{122}{5} and -\frac{5}{7} to get \frac{122}{7}.

$$\frac{2}{3}+\frac{122}{7}$$

Add \frac{2}{3} and \frac{122}{7} to get \frac{380}{21}.

$$\frac{380}{21}$$

Factor

$$\frac{2 ^ {2} \cdot 5 \cdot 19}{3 \cdot 7} = 18\frac{2}{21} = 18.095238095238095$$