Solve -4*-2+4/2{left(2/3right)}^2

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

Evaluate

$$\frac{80}{9}\approx 8.888888889$$

Solution Steps

Multiply -4 and -2 to get 8.

$$8+\frac{4}{2}\times \left(\frac{2}{3}\right)^{2}$$

Divide 4 by 2 to get 2.

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

Calculate \frac{2}{3} to the power of 2 and get \frac{4}{9}.

$$8+2\times \frac{4}{9}$$

Express 2\times \frac{4}{9} as a single fraction.

$$8+\frac{2\times 4}{9}$$

Multiply 2 and 4 to get 8.

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

Convert 8 to fraction \frac{72}{9}.

$$\frac{72}{9}+\frac{8}{9}$$

Since \frac{72}{9} and \frac{8}{9} have the same denominator, add them by adding their numerators.

$$\frac{72+8}{9}$$

Add 72 and 8 to get 80.

$$\frac{80}{9}$$

Factor

$$\frac{2 ^ {4} \cdot 5}{3 ^ {2}} = 8\frac{8}{9} = 8.88888888888889$$