Solve {left(1/216right)}^-frac{2{3}}div{left(1/27right)}^-frac{4{3}}

$${ \left( \frac{ 1 }{ 216 } \right) }^{ - \frac{ 2 }{ 3 } } \div { \left( \frac{ 1 }{ 27 } \right) }^{ - \frac{ 4 }{ 3 } }$$

Evaluate

$$\frac{4}{9}\approx 0.444444444$$

Solution Steps

Calculate \frac{1}{216} to the power of -\frac{2}{3} and get 36.

$$\frac{36}{\left(\frac{1}{27}\right)^{-\frac{4}{3}}}$$

Calculate \frac{1}{27} to the power of -\frac{4}{3} and get 81.

$$\frac{36}{81}$$

Reduce the fraction \frac{36}{81} to lowest terms by extracting and canceling out 9.

$$\frac{4}{9}$$

Factor

$$\frac{2 ^ {2}}{3 ^ {2}} = 0.4444444444444444$$