Solve 4-5*(-1/2)^3

$$4 - 5 \times ( - \frac { 1 } { 2 } ) ^ { 3 }$$

Evaluate

$$\frac{37}{8}=4.625$$

Solution Steps

Calculate -\frac{1}{2} to the power of 3 and get -\frac{1}{8}.

$$4-5\left(-\frac{1}{8}\right)$$

Express 5\left(-\frac{1}{8}\right) as a single fraction.

$$4-\frac{5\left(-1\right)}{8}$$

Multiply 5 and -1 to get -5.

$$4-\frac{-5}{8}$$

Fraction \frac{-5}{8} can be rewritten as -\frac{5}{8} by extracting the negative sign.

$$4-\left(-\frac{5}{8}\right)$$

The opposite of -\frac{5}{8} is \frac{5}{8}.

$$4+\frac{5}{8}$$

Convert 4 to fraction \frac{32}{8}.

$$\frac{32}{8}+\frac{5}{8}$$

Since \frac{32}{8} and \frac{5}{8} have the same denominator, add them by adding their numerators.

$$\frac{32+5}{8}$$

Add 32 and 5 to get 37.

$$\frac{37}{8}$$

Factor

$$\frac{37}{2 ^ {3}} = 4\frac{5}{8} = 4.625$$