Solve 2:((-12)^-2-(22/5))-2,8

$$2 : ( ( - 12 ) ^ { - 2 } - ( 2 \frac { 2 } { 5 } ) ) - 2,8$$

Evaluate

$$-\frac{31322}{8615}\approx -3,635751596$$

Solution Steps

Calculate -12 to the power of -2 and get \frac{1}{144}.

$$\frac{2}{\frac{1}{144}-\frac{2\times 5+2}{5}}-2,8$$

Multiply 2 and 5 to get 10.

$$\frac{2}{\frac{1}{144}-\frac{10+2}{5}}-2,8$$

Add 10 and 2 to get 12.

$$\frac{2}{\frac{1}{144}-\frac{12}{5}}-2,8$$

Subtract \frac{12}{5} from \frac{1}{144} to get -\frac{1723}{720}.

$$\frac{2}{-\frac{1723}{720}}-2,8$$

Divide 2 by -\frac{1723}{720} by multiplying 2 by the reciprocal of -\frac{1723}{720}.

$$2\left(-\frac{720}{1723}\right)-2,8$$

Multiply 2 and -\frac{720}{1723} to get -\frac{1440}{1723}.

$$-\frac{1440}{1723}-2,8$$

Subtract 2,8 from -\frac{1440}{1723} to get -\frac{31322}{8615}.

$$-\frac{31322}{8615}$$

Factor

$$-\frac{31322}{8615} = -3\frac{5477}{8615} = -3.635751596053395$$