Solve -2^2-22^2+2^-1

$$- { 2 }^{ 2 } -2 { 2 }^{ 2 } + { 2 }^{ -1 }$$

Evaluate

$$-\frac{23}{2}=-11.5$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

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

Calculate 2 to the power of 2 and get 4.

$$-4-2^{3}+2^{-1}$$

Calculate 2 to the power of 3 and get 8.

$$-4-8+2^{-1}$$

Subtract 8 from -4 to get -12.

$$-12+2^{-1}$$

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

$$-12+\frac{1}{2}$$

Add -12 and \frac{1}{2} to get -\frac{23}{2}.

$$-\frac{23}{2}$$

Factor

$$-\frac{23}{2} = -11\frac{1}{2} = -11.5$$