Question

Find the product.
a^3b^2 • 4ab^3

Answer 1

4a^4·b^5

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