Solve -left(2.(1)right)^3-9/31^2+3/4+1/2

$$- { \left(2.(1) \right) }^{ 3 } - \frac{ 9 }{ 3 } { 1 }^{ 2 } + \frac{ 3 }{ 4 } + \frac{ 1 }{ 2 }$$

Evaluate

$$-\frac{39}{4}=-9.75$$

Solution Steps

Multiply 2 and 1 to get 2.

$$-2^{3}-\frac{9}{3}\times 1^{2}+\frac{3}{4}+\frac{1}{2}$$

Calculate 2 to the power of 3 and get 8.

$$-8-\frac{9}{3}\times 1^{2}+\frac{3}{4}+\frac{1}{2}$$

Divide 9 by 3 to get 3.

$$-8-3\times 1^{2}+\frac{3}{4}+\frac{1}{2}$$

Calculate 1 to the power of 2 and get 1.

$$-8-3\times 1+\frac{3}{4}+\frac{1}{2}$$

Multiply 3 and 1 to get 3.

$$-8-3+\frac{3}{4}+\frac{1}{2}$$

Subtract 3 from -8 to get -11.

$$-11+\frac{3}{4}+\frac{1}{2}$$

Add -11 and \frac{3}{4} to get -\frac{41}{4}.

$$-\frac{41}{4}+\frac{1}{2}$$

Add -\frac{41}{4} and \frac{1}{2} to get -\frac{39}{4}.

$$-\frac{39}{4}$$

Factor

$$-\frac{39}{4} = -9\frac{3}{4} = -9.75$$