Solve (-3/7)^0+2^-2-(1/2)^-3-(-2008)^0

$$( - \frac { 3 } { 7 } ) ^ { 0 } + 2 ^ { - 2 } - ( \frac { 1 } { 2 } ) ^ { - 3 } - ( - 2008 ) ^ { 0 }$$

Evaluate

$$-\frac{31}{4}=-7.75$$

Solution Steps

Calculate -\frac{3}{7} to the power of 0 and get 1.

$$1+2^{-2}-\left(\frac{1}{2}\right)^{-3}-\left(-2008\right)^{0}$$

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

$$1+\frac{1}{4}-\left(\frac{1}{2}\right)^{-3}-\left(-2008\right)^{0}$$

Add 1 and \frac{1}{4} to get \frac{5}{4}.

$$\frac{5}{4}-\left(\frac{1}{2}\right)^{-3}-\left(-2008\right)^{0}$$

Calculate \frac{1}{2} to the power of -3 and get 8.

$$\frac{5}{4}-8-\left(-2008\right)^{0}$$

Subtract 8 from \frac{5}{4} to get -\frac{27}{4}.

$$-\frac{27}{4}-\left(-2008\right)^{0}$$

Calculate -2008 to the power of 0 and get 1.

$$-\frac{27}{4}-1$$

Subtract 1 from -\frac{27}{4} to get -\frac{31}{4}.

$$-\frac{31}{4}$$

Factor

$$-\frac{31}{4} = -7\frac{3}{4} = -7.75$$