Solve (-4)^0-(11/2)^2*8/27

$$( - 4 ) ^ { 0 } - ( 1 \frac { 1 } { 2 } ) ^ { 2 } \cdot \frac { 8 } { 27 }$$

Evaluate

$$\frac{1}{3}\approx 0.333333333$$

Solution Steps

Calculate -4 to the power of 0 and get 1.

$$1-\left(\frac{1\times 2+1}{2}\right)^{2}\times \frac{8}{27}$$

Multiply 1 and 2 to get 2.

$$1-\left(\frac{2+1}{2}\right)^{2}\times \frac{8}{27}$$

Add 2 and 1 to get 3.

$$1-\left(\frac{3}{2}\right)^{2}\times \frac{8}{27}$$

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

$$1-\frac{9}{4}\times \frac{8}{27}$$

Multiply \frac{9}{4} and \frac{8}{27} to get \frac{2}{3}.

$$1-\frac{2}{3}$$

Subtract \frac{2}{3} from 1 to get \frac{1}{3}.

$$\frac{1}{3}$$

Factor

$$\frac{1}{3} = 0.3333333333333333$$