Solve [2/9]^2div[2/4]^6

$$[ \frac { 2 } { 9 } ] ^ { 2 } \div [ \frac { 2 } { 4 } ] ^ { 6 }$$

Evaluate

$$\frac{256}{81}\approx 3.160493827$$

Solution Steps

Calculate \frac{2}{9} to the power of 2 and get \frac{4}{81}.

$$\frac{\frac{4}{81}}{\left(\frac{2}{4}\right)^{6}}$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{4}{81}}{\left(\frac{1}{2}\right)^{6}}$$

Calculate \frac{1}{2} to the power of 6 and get \frac{1}{64}.

$$\frac{\frac{4}{81}}{\frac{1}{64}}$$

Divide \frac{4}{81} by \frac{1}{64} by multiplying \frac{4}{81} by the reciprocal of \frac{1}{64}.

$$\frac{4}{81}\times 64$$

Multiply \frac{4}{81} and 64 to get \frac{256}{81}.

$$\frac{256}{81}$$

Factor

$$\frac{2 ^ {8}}{3 ^ {4}} = 3\frac{13}{81} = 3.1604938271604937$$