Solve |-1^2-5(2)|/5(-1)-2^2

$$\frac { | - 1 ^ { 2 } - 5 ( 2 ) | } { 5 ( - 1 ) - 2 ^ { 2 } }$$

Evaluate

$$-\frac{11}{9}\approx -1.222222222$$

Solution Steps

Calculate 1 to the power of 2 and get 1.

$$\frac{|-1-5\times 2|}{5\left(-1\right)-2^{2}}$$

Multiply 5 and 2 to get 10.

$$\frac{|-1-10|}{5\left(-1\right)-2^{2}}$$

Subtract 10 from -1 to get -11.

$$\frac{|-11|}{5\left(-1\right)-2^{2}}$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -11 is 11.

$$\frac{11}{5\left(-1\right)-2^{2}}$$

Multiply 5 and -1 to get -5.

$$\frac{11}{-5-2^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{11}{-5-4}$$

Subtract 4 from -5 to get -9.

$$\frac{11}{-9}$$

Fraction \frac{11}{-9} can be rewritten as -\frac{11}{9} by extracting the negative sign.

$$-\frac{11}{9}$$

Factor

$$-\frac{11}{9} = -1\frac{2}{9} = -1.2222222222222223$$