Solve 2-[1/2+(-2)^3div{5*(-2)+6}]

$$2 - [ \frac { 1 } { 2 } + ( - 2 ) ^ { 3 } \div \{ 5 \times ( - 2 ) + 6 \} ]$$

Evaluate

$$-\frac{1}{2}=-0.5$$

Solution Steps

Calculate -2 to the power of 3 and get -8.

$$2-\left(\frac{1}{2}+\frac{-8}{5\left(-2\right)+6}\right)$$

Multiply 5 and -2 to get -10.

$$2-\left(\frac{1}{2}+\frac{-8}{-10+6}\right)$$

Add -10 and 6 to get -4.

$$2-\left(\frac{1}{2}+\frac{-8}{-4}\right)$$

Divide -8 by -4 to get 2.

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

Convert 2 to fraction \frac{4}{2}.

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

Since \frac{1}{2} and \frac{4}{2} have the same denominator, add them by adding their numerators.

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

Add 1 and 4 to get 5.

$$2-\frac{5}{2}$$

Convert 2 to fraction \frac{4}{2}.

$$\frac{4}{2}-\frac{5}{2}$$

Since \frac{4}{2} and \frac{5}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-5}{2}$$

Subtract 5 from 4 to get -1.

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

Factor

$$-\frac{1}{2} = -0.5$$