Solve {left(2/3right)}^2-{left(2/3right)}^3

$${ \left( \frac{ 2 }{ 3 } \right) }^{ 2 } - { \left( \frac{ 2 }{ 3 } \right) }^{ 3 }$$

Evaluate

$$\frac{4}{27}\approx 0.148148148$$

Solution Steps

Calculate \frac{2}{3} to the power of 2 and get \frac{4}{9}.

$$\frac{4}{9}-\left(\frac{2}{3}\right)^{3}$$

Calculate \frac{2}{3} to the power of 3 and get \frac{8}{27}.

$$\frac{4}{9}-\frac{8}{27}$$

Least common multiple of 9 and 27 is 27. Convert \frac{4}{9} and \frac{8}{27} to fractions with denominator 27.

$$\frac{12}{27}-\frac{8}{27}$$

Since \frac{12}{27} and \frac{8}{27} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-8}{27}$$

Subtract 8 from 12 to get 4.

$$\frac{4}{27}$$

Factor

$$\frac{2 ^ {2}}{3 ^ {3}} = 0.14814814814814814$$