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the answer is 4a^4b^5

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]