Answer:
[tex] \frac{4}{ {x}^{14} {y}^{8} } [/tex]
Step-by-step explanation:
Follow the steps below.
[tex]( \frac{( {2}^{ - 3})( {x}^{ - 3})( {y}^{2} }{( {4}^{ - 2})( {x}^{4} )( {y}^{6} } {)}^{2} [/tex]
Multiply exponents by the exponent outside of the perentheses (2).
[tex]( \frac{( {2}^{ - 6} )( {x}^{ - 6})( {y}^{4} ) }{( {4}^{ - 4})( {x}^{8} )( {y}^{12}) } )[/tex]
Subtract the variables' and non-variables' exponents from each other and divide the non-variables.
[tex]( { \frac{1}{2} }^{ - 2} ) ( {x}^{ - 14} )( {y}^{ - 8} )[/tex]
Solve for the non-variable.
[tex](4)( {x}^{ - 14} )( {y}^{ - 8} )[/tex]
Make the variables the denominator to remove the negative exponents and make them positive.
[tex] \frac{4}{ {x}^{14} {y}^{ 8} } [/tex]
There is your answer
