Answer:
[tex] \frac{8}{729} [/tex]
Explanation:
Before we begin, remember that:
([tex] \frac{a}{b} [/tex])ⁿ = [tex] \frac{a^n}{b^n} [/tex]
This means that power is distributed in case of division
The given is:
[tex] (\frac{2}{9} )^3 [/tex]
Applying the above rule, we would get:
[tex] (\frac{2}{9} )^3 [/tex] = [tex] \frac{2^3}{9^3} = \frac{2*2*2}{9*9*9} = \frac{8}{729} [/tex]
Hope this helps :)