Question

Use the properties of exponents to simplify the expression all the way.

Answer 1

${( {2}^{1} {x}^{4} {y}^{ - 3} ) }^{ - 1} \: = \: ({ {2}^{1 \times ( - 1)} {x}^{4 \times ( - 1)} {y}^{ ( - 3) \times ( - 1)} ) }^{ \frac{ - 1}{ - 1} } \: = \: ( {2}^{ - 1} {x}^{ - 4} {y}^{3} ) \: = \: \frac{ {y}^{3} }{2 {x}^{4} }$