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!
