Solve 2^2-5/2(2)^3+6

$$\frac { 2 ^ { 2 } - 5 } { 2 ( 2 ) ^ { 3 } + 6 }$$

Evaluate

$$-\frac{1}{22}\approx -0.045454545$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

$$\frac{2^{2}-5}{2^{4}+6}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{4-5}{2^{4}+6}$$

Subtract 5 from 4 to get -1.

$$\frac{-1}{2^{4}+6}$$

Calculate 2 to the power of 4 and get 16.

$$\frac{-1}{16+6}$$

Add 16 and 6 to get 22.

$$\frac{-1}{22}$$

Fraction \frac{-1}{22} can be rewritten as -\frac{1}{22} by extracting the negative sign.

$$-\frac{1}{22}$$

Factor

$$-\frac{1}{22} = -0.045454545454545456$$