Question

Choose the product.

a3b2 · 4ab3
a .4a3b5
b .4a3b6
c. 4a4b5

Answer 1

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.

Answer 2

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.