\(\displaystyle \begin{array}{l}{\rm{eq1:}}\,\,\,\,\,\sqrt {{x^2}{y^3}} \,\,\,\,\, = \\{\rm{eq2:}}\,\,\,\,\,\sqrt {{x^2}{y^2}y} \,\,\,\,\, = \\{\rm{eq3:}}\,\,\,\,|xy|\sqrt y \,\,\,\,\, = \\{\rm{eq4:}}\,\,\,\,y|x|\sqrt y \end{array}\)
Is the expression 3 or 4 the correct simplification? It seems to me that I haven't seen the last step taken as a normal course yet it seem clear that y >= 0 (else the expression is undefined) and so can be taken out of the absolute values bars?
Is the expression 3 or 4 the correct simplification? It seems to me that I haven't seen the last step taken as a normal course yet it seem clear that y >= 0 (else the expression is undefined) and so can be taken out of the absolute values bars?