Solve 1/18left(1+-2^5right)/3

$$\frac{ \frac{ 1 }{ 18 } \left( 1+ { -2 }^{ 5 } \right) }{ 3 }$$

Evaluate

$$-\frac{31}{54}\approx -0.574074074$$

Solution Steps

Calculate -2 to the power of 5 and get -32.

$$\frac{\frac{1}{18}\left(1-32\right)}{3}$$

Subtract 32 from 1 to get -31.

$$\frac{\frac{1}{18}\left(-31\right)}{3}$$

Multiply \frac{1}{18} and -31 to get \frac{-31}{18}.

$$\frac{\frac{-31}{18}}{3}$$

Fraction \frac{-31}{18} can be rewritten as -\frac{31}{18} by extracting the negative sign.

$$\frac{-\frac{31}{18}}{3}$$

Express \frac{-\frac{31}{18}}{3} as a single fraction.

$$\frac{-31}{18\times 3}$$

Multiply 18 and 3 to get 54.

$$\frac{-31}{54}$$

Fraction \frac{-31}{54} can be rewritten as -\frac{31}{54} by extracting the negative sign.

$$-\frac{31}{54}$$

Factor

$$-\frac{31}{54} = -0.5740740740740741$$