Answer:
[tex]a^{5}[/tex][tex]b^{3}[/tex]
Step-by-step explanation:
The law of indices can be used to simplify mathematical expressions involving arithmetical operation on variables with powers.
[tex]a^{m}[/tex] x [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
Thus, the given expression can be simplified as follows:
a³b² a²b = a³ x a² x b² x [tex]b^{1}[/tex]
= [tex]a^{3+2}[/tex] x [tex]b^{2+1}[/tex]
= [tex]a^{5}[/tex][tex]b^{3}[/tex]
Thus,
a³b² a²b = [tex]a^{5}[/tex][tex]b^{3}[/tex]
