We have the following expression:
[tex]2x^2y\cdot3x^5y^2[/tex]
By combining similar terms, we get
[tex]2\cdot3\cdot x^2\cdot x^5\cdot y\cdot y^2[/tex]
now, 2 times 3 is 6 and to add exponents, both the exponents and variables should be alike:
[tex]x^2\cdot x^5=x^{2+5}=x^7[/tex]
Similarly,
[tex]y\cdot y^2=y^{1+2}=y^3[/tex]
Therefore, the answer is
[tex]6x^7y^3[/tex]
