Question

$( {x}^{ \frac{3}{2} } x {)}^ { \frac{ - 3}{5} }$
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Answer 1

Step-by-step explanation:

$({ {x}^{ \frac{3}{2} }x })^{ \frac{ -3}{ 5} }$

$= { ({x}^{ \frac{3}{2}})}^{ \frac{ - 3}{5} } \times {x}^{ \frac{ - 3}{5} }$

$= {x}^{ \frac{ - 9}{10} } \times {x}^{ \frac{ - 3}{5} } = {x}^{ \frac{ - 9}{10} + \frac{ - 3}{5} }$

$= {x}^{ \frac{ - 3}{2} }$

$= \frac{1}{ {x}^{ \frac{3}{2} } }$