Question

Simplify:
${ \frac{3}{5} }^{4} \times { \frac{8}{5} }^{ - 12} \times { \frac{32}{5} }^{6}$
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Answer 1

Answer:

${ \frac{2025}{64} }$

Step-by-step explanation:

${ \frac{3}{5} }^{4} \times { \frac{8}{5} }^{ - 12} \times { \frac{32}{5} }^{6}$

= ${ \frac{3 * 3 * 3 * 3}{5 * 5 * 5 * 5} } \times { \frac{5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5}{8 * 8 * 8 * 8 * 8 * 8 * 8 * 8 * 8 * 8 * 8 * 8} } \times { \frac{32 * 32 * 32 * 32 * 32 * 32}{5 * 5 * 5 * 5 * 5 * 5} }$

= ${ \frac{3 * 3 * 3 * 3}{1} } \times { \frac{5 * 5}{2 * 2 * 2 * 2 * 2 * 2} } \times { \frac{1}{1} }$

= ${ \frac{2025}{64} }$

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