Solve 5-sqrt[3]{27}+-2^2+4/-frac{2{3}}

$$5- \sqrt[ 3 ]{ 27 } + { -2 }^{ 2 } + \frac{ 4 }{ - \frac{ 2 }{ 3 } }$$

Evaluate

$$0$$

Solution Steps

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

$$5-3+\left(-2\right)^{2}+\frac{4}{-\frac{2}{3}}$$

Subtract 3 from 5 to get 2.

$$2+\left(-2\right)^{2}+\frac{4}{-\frac{2}{3}}$$

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

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

Add 2 and 4 to get 6.

$$6+\frac{4}{-\frac{2}{3}}$$

Divide 4 by -\frac{2}{3} by multiplying 4 by the reciprocal of -\frac{2}{3}.

$$6+4\left(-\frac{3}{2}\right)$$

Multiply 4 and -\frac{3}{2} to get -6.

$$6-6$$

Subtract 6 from 6 to get 0.

$$0$$

Factor

$$0$$