Solve 2^-1-2^-13^-2

$${ 2 }^{ -1 } { -2 }^{ -1 } { 3 }^{ -2 }$$

Evaluate

$$-\frac{1}{36}\approx -0.027777778$$

Solution Steps

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

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

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

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

Multiply \frac{1}{2} and -\frac{1}{2} to get -\frac{1}{4}.

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

Calculate 3 to the power of -2 and get \frac{1}{9}.

$$-\frac{1}{4}\times \frac{1}{9}$$

Multiply -\frac{1}{4} and \frac{1}{9} to get -\frac{1}{36}.

$$-\frac{1}{36}$$

Factor

$$-\frac{1}{36} = -0.027777777777777776$$