Solve -2*(-2/3)^2*(-11/2)

$$- 2 \cdot ( - \frac { 2 } { 3 } ) ^ { 2 } \cdot ( - 1 \frac { 1 } { 2 } )$$

Evaluate

$$\frac{4}{3}\approx 1.333333333$$

Solution Steps

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

$$-2\times \frac{4}{9}\left(-\frac{2+1}{2}\right)$$

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

$$\frac{-2\times 4}{9}\left(-\frac{1\times 2+1}{2}\right)$$

Multiply -2 and 4 to get -8.

$$\frac{-8}{9}\left(-\frac{1\times 2+1}{2}\right)$$

Fraction \frac{-8}{9} can be rewritten as -\frac{8}{9} by extracting the negative sign.

$$-\frac{8}{9}\left(-\frac{2+1}{2}\right)$$

Add 2 and 1 to get 3.

$$-\frac{8}{9}\left(-\frac{3}{2}\right)$$

Multiply -\frac{8}{9} times -\frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-8\left(-3\right)}{9\times 2}$$

Do the multiplications in the fraction \frac{-8\left(-3\right)}{9\times 2}.

$$\frac{24}{18}$$

Reduce the fraction \frac{24}{18} to lowest terms by extracting and canceling out 6.

$$\frac{4}{3}$$

Factor

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$