1.

Simplify: \[\frac{{{\left[ \frac{2}{3} \right]}^{3}}\times {{\left[ \frac{2}{3} \right]}^{-2}}\times {{\left[ {{\left( \frac{1}{2} \right)}^{2}} \right]}^{-2}}\times \frac{1}{24}}{{{\left( \frac{2}{3} \right)}^{-5}}\times {{\left( \frac{3}{2} \right)}^{-12}}}\]

A.  \[{{\left( \frac{2}{3} \right)}^{-4}}\]                      
B.  \[\frac{32}{3}\]         
C.  \[\frac{243}{16}\]     
D.         \[\frac{243}{32}\]
Answer» E.


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