Solve (1/3)^3/(frac{16{6})^6}

$$\frac { ( \frac { 1 } { 3 } ) ^ { 3 } } { ( \frac { 16 } { 6 } ) ^ { 6 } }$$

Evaluate

$$\frac{27}{262144}=0.000102997$$

Solution Steps

Calculate \frac{1}{3} to the power of 3 and get \frac{1}{27}.

$$\frac{\frac{1}{27}}{\left(\frac{16}{6}\right)^{6}}$$

Reduce the fraction \frac{16}{6} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{1}{27}}{\left(\frac{8}{3}\right)^{6}}$$

Calculate \frac{8}{3} to the power of 6 and get \frac{262144}{729}.

$$\frac{\frac{1}{27}}{\frac{262144}{729}}$$

Divide \frac{1}{27} by \frac{262144}{729} by multiplying \frac{1}{27} by the reciprocal of \frac{262144}{729}.

$$\frac{1}{27}\times \frac{729}{262144}$$

Multiply \frac{1}{27} and \frac{729}{262144} to get \frac{27}{262144}.

$$\frac{27}{262144}$$

Factor

$$\frac{3 ^ {3}}{2 ^ {18}} = 0.000102996826171875$$