Solve (5)(-1)^2008+(-5)*[(-2)^3+2]-(-4)^2div(-1/2)

$$( 5 ) ( - 1 ) ^ { 2008 } + ( - 5 ) \times [ ( - 2 ) ^ { 3 } + 2 ] - ( - 4 ) ^ { 2 } \div ( - \frac { 1 } { 2 } )$$

Evaluate

$$67$$

Solution Steps

Calculate -1 to the power of 2008 and get 1.

$$5\times 1-5\left(\left(-2\right)^{3}+2\right)-\frac{\left(-4\right)^{2}}{-\frac{1}{2}}$$

Multiply 5 and 1 to get 5.

$$5-5\left(\left(-2\right)^{3}+2\right)-\frac{\left(-4\right)^{2}}{-\frac{1}{2}}$$

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

$$5-5\left(-8+2\right)-\frac{\left(-4\right)^{2}}{-\frac{1}{2}}$$

Add -8 and 2 to get -6.

$$5-5\left(-6\right)-\frac{\left(-4\right)^{2}}{-\frac{1}{2}}$$

Multiply -5 and -6 to get 30.

$$5+30-\frac{\left(-4\right)^{2}}{-\frac{1}{2}}$$

Add 5 and 30 to get 35.

$$35-\frac{\left(-4\right)^{2}}{-\frac{1}{2}}$$

Calculate -4 to the power of 2 and get 16.

$$35-\frac{16}{-\frac{1}{2}}$$

Divide 16 by -\frac{1}{2} by multiplying 16 by the reciprocal of -\frac{1}{2}.

$$35-16\left(-2\right)$$

Multiply 16 and -2 to get -32.

$$35-\left(-32\right)$$

The opposite of -32 is 32.

$$35+32$$

Add 35 and 32 to get 67.

$$67$$

Factor

$$67$$