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

$$3^{2}$$