Solve {left(-2/3right)}^2+16*-2/3

$${ \left(- \frac{ 2 }{ 3 } \right) }^{ 2 } +16 \times - \frac{ 2 }{ 3 }$$

Evaluate

$$-\frac{92}{9}\approx -10.222222222$$

Solution Steps

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

$$\frac{4}{9}+16\left(-\frac{2}{3}\right)$$

Express 16\left(-\frac{2}{3}\right) as a single fraction.

$$\frac{4}{9}+\frac{16\left(-2\right)}{3}$$

Multiply 16 and -2 to get -32.

$$\frac{4}{9}+\frac{-32}{3}$$

Fraction \frac{-32}{3} can be rewritten as -\frac{32}{3} by extracting the negative sign.

$$\frac{4}{9}-\frac{32}{3}$$

Least common multiple of 9 and 3 is 9. Convert \frac{4}{9} and \frac{32}{3} to fractions with denominator 9.

$$\frac{4}{9}-\frac{96}{9}$$

Since \frac{4}{9} and \frac{96}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-96}{9}$$

Subtract 96 from 4 to get -92.

$$-\frac{92}{9}$$

Factor

$$-\frac{92}{9} = -10\frac{2}{9} = -10.222222222222221$$