Solve (1-(-0.5))^2/(-0.5)^2

$$\frac { ( 1 - ( - 0.5 ) ) ^ { 2 } } { ( - 0.5 ) ^ { 2 } }$$

Evaluate

$$9$$

Solution Steps

The opposite of -0.5 is 0.5.

$$\frac{\left(1+0.5\right)^{2}}{\left(-0.5\right)^{2}}$$

Add 1 and 0.5 to get 1.5.

$$\frac{1.5^{2}}{\left(-0.5\right)^{2}}$$

Calculate 1.5 to the power of 2 and get 2.25.

$$\frac{2.25}{\left(-0.5\right)^{2}}$$

Calculate -0.5 to the power of 2 and get 0.25.

$$\frac{2.25}{0.25}$$

Expand \frac{2.25}{0.25} by multiplying both numerator and the denominator by 100.

$$\frac{225}{25}$$

Divide 225 by 25 to get 9.

$$9$$

Factor

$$3^{2}$$