Q:

simplifycan u plz help me on this its a math question !!!!!theres an image below!!!

Accepted Solution

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

                  →    [tex] (\frac{2}{9})^3 [/tex]   

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Note the following property of exponents:
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[tex]( \frac{a}{b})^n [/tex]  =  [tex] \frac{(a^n)}{(b^n)} [/tex] ;  { b [tex] \neq [/tex]0 } . 

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As such:

→  [tex]( \frac{2}{9})^3 [/tex]  ;

                 
 =[tex]\frac{2^3}{9^3}[/tex] = [tex] \frac{(2*2*2)}{(9*9*9)}[/tex] =  [tex] \frac{8}{729} [/tex] .

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The answer is:  " [tex] \frac{8}{729} [/tex] "  ; 

→  which is:  "Answer choice:  [A]:  " [tex] \frac{8}{729} [/tex] " . 
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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!