Answer:
The simplified expression for [tex]([/tex][tex]12[/tex][tex]x^{2}[/tex][tex]y^{3}[/tex][tex])\\[/tex] [tex](2x^{3}y) ^{2}[/tex] is [tex]48x^{8} y^{5}[/tex].
Step-by-step explanation:
= [tex]([/tex][tex]12[/tex][tex]x^{2}[/tex][tex]y^{3}[/tex][tex])\\[/tex] ( [tex]4x^{6}y^{2}[/tex]) (squaring the terms inside bracket)
= [tex]12*4* x^{6+2}*y^{3+2}[/tex] (adding power of the same variables)
=[tex]48*x^{8}*y^{5}[/tex]
