It says 'simplify using power of laws.' I don't understand this question.
(3x2y3)(2xy2)2
------------------
-2x2 y
(3x2y3)(2xy2)2
------------------
-2x2 y
\(\large \frac{(3x\times2y^3)(2x y^2 )^2}{-2x^2y}\)
\(=\large \frac{(3x\times2y^3)(4x^2 y^4 )}{-2x^2y}\)
\(=-12xy^6\)
!
I think 'Laws of powers' would be clearer....
(3x2y3)(2xy2)2
------------------ = 3x^2y^3 (4x^2y^4) / -2x^2y = 12x^4y^7/(-2x^2y) = -6x^2y^6
-2x2 y