Solve 5^0-(-1^2)-{left(1/2right)}^2

$${ 5 }^{ 0 } -(- { 1 }^{ 2 } )- { \left( \frac{ 1 }{ 2 } \right) }^{ 2 }$$

Evaluate

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

Solution Steps

Calculate 5 to the power of 0 and get 1.

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

Calculate 1 to the power of 2 and get 1.

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

The opposite of -1 is 1.

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

Add 1 and 1 to get 2.

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

Calculate \frac{1}{2} to the power of 2 and get \frac{1}{4}.

$$2-\frac{1}{4}$$

Subtract \frac{1}{4} from 2 to get \frac{7}{4}.

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

Factor

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