Answer:
[tex]4a^4b^5[/tex]
Step-by-step explanation:
To find the product of:
[tex]a^3 b^2 \cdot 4ab^3[/tex] .....[1]
Using the exponent rules:
[tex]a^n \cdot a^m = a^{n+m}[/tex]
Apply the exponent rules on [1] we have;
[tex]4a^{3+1} \cdot b^{2+3}[/tex]
Simplify:
[tex]4a^4 \cdot b^5[/tex]
⇒[tex]4a^4b^5[/tex]
therefore, the product of a^3 b^2 · 4ab^3 is, [tex]4a^4b^5[/tex]