Answer:
[tex]-24a^3b^7[/tex]
Step-by-step explanation:
We are given the following expression and we are to find its product:
[tex](3a^2b^4)(-8ab^3)[/tex]
Here, we need to recall the the product rule according to which the exponents are added when you multiply two powers that have the same base.
So here the powers of [tex]a[/tex] and [tex]b[/tex] will be added to their powers to give:
[tex](3a^2b^4)(-8ab^3)[/tex] = [tex]-24a^{(2+1)}b^{(4+3)}[/tex] = [tex]-24a^3b^7[/tex]
Therefore, the product of the given expression is [tex]-24a^3b^7[/tex].
