Solve 2^-1--2^2+-2^-1/2^2+{2^5}

$$\frac{ { 2 }^{ -1 } - { -2 }^{ 2 } + { -2 }^{ -1 } }{ { 2 }^{ 2 } + { 2 }^{ 5 } }$$

Evaluate

$$-\frac{1}{9}\approx -0.111111111$$

Solution Steps

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

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

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

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

Subtract 4 from \frac{1}{2} to get -\frac{7}{2}.

$$\frac{-\frac{7}{2}+\left(-2\right)^{-1}}{2^{2}+2^{5}}$$

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

$$\frac{-\frac{7}{2}-\frac{1}{2}}{2^{2}+2^{5}}$$

Subtract \frac{1}{2} from -\frac{7}{2} to get -4.

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

Calculate 2 to the power of 2 and get 4.

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

Calculate 2 to the power of 5 and get 32.

$$\frac{-4}{4+32}$$

Add 4 and 32 to get 36.

$$\frac{-4}{36}$$

Reduce the fraction \frac{-4}{36} to lowest terms by extracting and canceling out 4.

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

Factor

$$-\frac{1}{9} = -0.1111111111111111$$