Find the product.

a^3b^2 • 4ab^3

4a^4·b^5

Step-by-step explanation:

The applicable rule of exponents is ...

(x^a) (x^b) = x^ (a+b)

The commutative and associative properties of multiplication apply, so we can write the expression as ...

4· (a^3·a) · (b^2·b^3) = 4·a^ (3+1) ·b^ (2+3) = 4·a^4·b^5