Answer: The given product is equal to [tex]6y^{-8}.[/tex]
Step-by-step explanation: We are given to find the following product:
[tex]P=3y^{-4}\times 2y^{-4}.[/tex]
We will be using the following property of exponents:
[tex](i)~a^x\times a^y=a^{x+y}.[/tex]
We have
[tex]P\\\\=3y^{-4}\times 2y^{-4}\\\\=3\times 2\times y^{(-4)+(-4)}\\\\=6y^{-8}.[/tex]
Therefore, the given product is equal to [tex]6y^{-8}.[/tex]
