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

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

Evaluate

$$2$$

Solution Steps

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

$$4\times \frac{1}{8}-5\times \frac{1}{2}+4$$

Multiply 4 and \frac{1}{8} to get \frac{4}{8}.

$$\frac{4}{8}-5\times \frac{1}{2}+4$$

Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.

$$\frac{1}{2}-5\times \frac{1}{2}+4$$

Multiply 5 and \frac{1}{2} to get \frac{5}{2}.

$$\frac{1}{2}-\frac{5}{2}+4$$

Since \frac{1}{2} and \frac{5}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-5}{2}+4$$

Subtract 5 from 1 to get -4.

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

Divide -4 by 2 to get -2.

$$-2+4$$

Add -2 and 4 to get 2.

$$2$$

Factor

$$2$$