Question

Simplify

Answer 1

The correct answer is:  [A]:  " $\frac{8}{729}$ " .
_________________________________________________________
Explanation:
_________________________________________________________
We are asked to simplify:

                  →    $(\frac{2}{9})^3$   

_________________________________________________________
Note the following property of exponents:
_________________________________________________________

$( \frac{a}{b})^n$  =  $\frac{(a^n)}{(b^n)}$ ;  { b $\neq$0 } . 

_________________________________________________________
As such:

→  $( \frac{2}{9})^3$  ;

                 
 =$\frac{2^3}{9^3}$ = $\frac{(2*2*2)}{(9*9*9)}$ =  $\frac{8}{729}$ .

_____________________________________________________________

The answer is:  " $\frac{8}{729}$ "  ; 

→  which is:  "Answer choice:  [A]:  " $\frac{8}{729}$ " . 
_____________________________________________________________
Hope this answer—and explanation—is of some help to you.
  Please comment below or otherwise respond to me if you have any questions or if I can be of further assistance.
     Best wishes!

Answer 2

Answer:

6

-----------             6 over 729

729

Step-by-step explanation:

2/9 * 2/9 * 2/9