Answer: The answer is [tex]2x^6y.[/tex]
Step-by-step explanation: We are given to simplify the following expression:
[tex]E=x^3\times 2x^3y.[/tex]
We will be using the following rule of exponents:
[tex]a^x\times a^y=a^{x+y}.[/tex]
The simplification is as follows:
[tex]E\\\\=x^3\times 2x^3y\\\\=2x^{3+3}y\\\\=2x^6y.[/tex]
Thus, the answer is [tex]2x^6y.[/tex]