the first step to solving this is to know that any expression raised to the power of -1 equals its reciprocal,, making this equation change to:
([tex] x^{-1} [/tex] x 1/y ÷ [tex] x^{-3} [/tex] x [tex] x^{4} [/tex])²
dividing by [tex] a^{-n} [/tex] is the same as multiplying by [tex] a^{n} [/tex] , so
([tex] x^{-1} [/tex] x 1/y x³ x [tex] x^{4} [/tex])²
now you need to calculate the product
([tex] \frac{ x^{6} }{y} [/tex])²
to raise a fraction to a power, you need to raise the numerator and denominator to that power. this looks like:
[tex] \frac{x^{12} }{y^{2} } [/tex]
this means that your final answer is [tex] \frac{x^{12} }{y^{2} } [/tex]
let me know if you have any further questions
:)
