Simplify each of the following and express each as a rational number:
${(\frac{3}{2})}^{4} \times {(\frac{1}{5})}^{2}$

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Solution

$(\frac{3}{2})^{4} \times (\frac{1}{5})^{2} = \frac{81}{16} \times \frac{1}{25} = \frac{81}{400}$

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