Solve pi=(2/3)^2=2^3/3^3

$$\pi = ( \frac { 2 } { 3 } ) ^ { 2 } = \frac { 2 ^ { 3 } } { 3 ^ { 3 } }$$

Verify

Solution Steps

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

$$\pi =\frac{4}{9}\text{ and }\left(\frac{2}{3}\right)^{2}=\frac{2^{3}}{3^{3}}$$

Compare \pi and \frac{4}{9}.

$$\text{false}\text{ and }\left(\frac{2}{3}\right)^{2}=\frac{2^{3}}{3^{3}}$$

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

$$\text{false}\text{ and }\frac{4}{9}=\frac{2^{3}}{3^{3}}$$

Calculate 2 to the power of 3 and get 8.

$$\text{false}\text{ and }\frac{4}{9}=\frac{8}{3^{3}}$$

Calculate 3 to the power of 3 and get 27.

$$\text{false}\text{ and }\frac{4}{9}=\frac{8}{27}$$

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

$$\text{false}\text{ and }\frac{12}{27}=\frac{8}{27}$$

Compare \frac{12}{27} and \frac{8}{27}.

$$\text{false}\text{ and }\text{false}$$

The conjunction of \text{false} and \text{false} is \text{false}.

$$\text{false}$$