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Verified Answer :

metchelle

In order to find the product of the given values above, simply multiply both of them.
So (a3b2)(4ab3) and we get, 4a^4b^5. In multiplying these, the rule is just to add both the exponents which makes this as the correct answer. The answer therefore is option A. Hope this answer helps.

Answer:  The correct option is (c) \(4a^4b^5.\)

Step-by-step explanation:  We are given to choose the correct expression for the following product :

\(P=a^3b^2.4ab^3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\)

We will be using the following property of exponents :

\(x^p.x^q=x^{p+q}.\)

From (i), we have

\(P\\\\=a^3b^2.4ab^3\\\\=4a^{3+1}b^{2+3}\\\\=4a^4b^5.\)

Thus, the required product is \(4a^4b^5.\)

Option (c) is CORRECT.

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