Solve -2^2-{left(frac{2/3^right)}^2}{2*8}

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

Evaluate

$$-\frac{5}{18}\approx -0.277777778$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$\frac{-4-\left(\frac{2}{3^{1}}\right)^{2}}{2\times 8}$$

Calculate 3 to the power of 1 and get 3.

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

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

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

Subtract \frac{4}{9} from -4 to get -\frac{40}{9}.

$$\frac{-\frac{40}{9}}{2\times 8}$$

Multiply 2 and 8 to get 16.

$$\frac{-\frac{40}{9}}{16}$$

Express \frac{-\frac{40}{9}}{16} as a single fraction.

$$\frac{-40}{9\times 16}$$

Multiply 9 and 16 to get 144.

$$\frac{-40}{144}$$

Reduce the fraction \frac{-40}{144} to lowest terms by extracting and canceling out 8.

$$-\frac{5}{18}$$

Factor

$$-\frac{5}{18} = -0.2777777777777778$$