Solve 8{left(1/2right)}^3+18{left(1/2right)}^3

$$8 { \left( \frac{ 1 }{ 2 } \right) }^{ 3 } +18 { \left( \frac{ 1 }{ 2 } \right) }^{ 3 }$$

Evaluate

$$\frac{13}{4}=3.25$$

Solution Steps

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

$$8\times \frac{1}{8}+18\times \left(\frac{1}{2}\right)^{3}$$

Cancel out 8 and 8.

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

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

$$1+18\times \frac{1}{8}$$

Multiply 18 and \frac{1}{8} to get \frac{18}{8}.

$$1+\frac{18}{8}$$

Reduce the fraction \frac{18}{8} to lowest terms by extracting and canceling out 2.

$$1+\frac{9}{4}$$

Convert 1 to fraction \frac{4}{4}.

$$\frac{4}{4}+\frac{9}{4}$$

Since \frac{4}{4} and \frac{9}{4} have the same denominator, add them by adding their numerators.

$$\frac{4+9}{4}$$

Add 4 and 9 to get 13.

$$\frac{13}{4}$$

Factor

$$\frac{13}{2 ^ {2}} = 3\frac{1}{4} = 3.25$$