Solve 4/1-{left(-3/2right)}^2

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

Evaluate

$$\frac{7}{4}=1.75$$

Solution Steps

Anything divided by one gives itself.

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

Fraction \frac{-3}{2} can be rewritten as -\frac{3}{2} by extracting the negative sign.

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

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

$$4-\frac{9}{4}$$

Subtract \frac{9}{4} from 4 to get \frac{7}{4}.

$$\frac{7}{4}$$

Factor

$$\frac{7}{2 ^ {2}} = 1\frac{3}{4} = 1.75$$