Solve (-3)/2+(-3)/2^(-3)-1

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

Evaluate

$$\frac{27}{14}\approx 1.928571429$$

Solution Steps

Fraction \frac{-3}{2} can be rewritten as -\frac{3}{2} by extracting the negative sign.

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

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

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

Subtract 1 from \frac{1}{8} to get -\frac{7}{8}.

$$-\frac{3}{2}+\frac{-3}{-\frac{7}{8}}$$

Divide -3 by -\frac{7}{8} by multiplying -3 by the reciprocal of -\frac{7}{8}.

$$-\frac{3}{2}-3\left(-\frac{8}{7}\right)$$

Multiply -3 and -\frac{8}{7} to get \frac{24}{7}.

$$-\frac{3}{2}+\frac{24}{7}$$

Add -\frac{3}{2} and \frac{24}{7} to get \frac{27}{14}.

$$\frac{27}{14}$$

Factor

$$\frac{3 ^ {3}}{2 \cdot 7} = 1\frac{13}{14} = 1.9285714285714286$$