Solve 2^3/3^2=8/9=0.889

$$\frac { 2 ^ { 3 } } { 3 ^ { 2 } } = \frac { 8 } { 9 } = 0.889$$

Verify

Solution Steps

Calculate 2 to the power of 3 and get 8.

$$\frac{8}{3^{2}}=\frac{8}{9}\text{ and }\frac{8}{9}=0.889$$

Calculate 3 to the power of 2 and get 9.

$$\frac{8}{9}=\frac{8}{9}\text{ and }\frac{8}{9}=0.889$$

Compare \frac{8}{9} and \frac{8}{9}.

$$\text{true}\text{ and }\frac{8}{9}=0.889$$

Convert decimal number 0.889 to fraction \frac{889}{1000}.

$$\text{true}\text{ and }\frac{8}{9}=\frac{889}{1000}$$

Least common multiple of 9 and 1000 is 9000. Convert \frac{8}{9} and \frac{889}{1000} to fractions with denominator 9000.

$$\text{true}\text{ and }\frac{8000}{9000}=\frac{8001}{9000}$$

Compare \frac{8000}{9000} and \frac{8001}{9000}.

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

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

$$\text{false}$$