Simplify\[\frac{{{\left( 9{{a}^{2}} \right)}^{1/2}}\times {{\left( 25{{a}^{4}} \right)}^{\frac{-1}{2}}}}{5{{a}^{1/2}}\times 3{{a}^{1/2}}\times 4{{a}^{9/4}}}\]

\[\frac{1}{100{{a}^{\frac{21}{4}}}}\]

Simplify\[\frac{{{\left( 9{{a}^{2}} \right)}^{1/2}}\times {{\left( 25{

1.	Simplify\[\frac{{{\left( 9{{a}^{2}} \right)}^{1/2}}\times {{\left( 25{{a}^{4}} \right)}^{\frac{-1}{2}}}}{5{{a}^{1/2}}\times 3{{a}^{1/2}}\times 4{{a}^{9/4}}}\]
A.	\[100\,{{a}^{\frac{25}{4}}}\]
B.	\[\frac{1}{100{{a}^{\frac{21}{4}}}}\]
C.	\[20{{a}^{\frac{-21}{4}}}\]
D.	\[20\,{{a}^{\frac{21}{4}}}\]
Answer» C. \[20{{a}^{\frac{-21}{4}}}\]

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Simplify\[\frac{{{\left( 9{{a}^{2}} \right)}^{1/2}}\times {{\left( 25{{a}^{4}} \right)}^{\frac{-1}{2}}}}{5{{a}^{1/2}}\times 3{{a}^{1/2}}\times 4{{a}^{9/4}}}\]

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