Solve 8^2/3^2-8/3

$$\frac{ { 8 }^{ 2 } }{ { 3 }^{ 2 } } - \frac{ 8 }{ 3 }$$

Evaluate

$$\frac{40}{9}\approx 4.444444444$$

Solution Steps

Calculate 8 to the power of 2 and get 64.

$$\frac{64}{3^{2}}-\frac{8}{3}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{64}{9}-\frac{8}{3}$$

Least common multiple of 9 and 3 is 9. Convert \frac{64}{9} and \frac{8}{3} to fractions with denominator 9.

$$\frac{64}{9}-\frac{24}{9}$$

Since \frac{64}{9} and \frac{24}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{64-24}{9}$$

Subtract 24 from 64 to get 40.

$$\frac{40}{9}$$

Factor

$$\frac{2 ^ {3} \cdot 5}{3 ^ {2}} = 4\frac{4}{9} = 4.444444444444445$$