Answer:
Multiplying and simplifying the term [tex]-3x^2y^2 \:.\: x^4[/tex] we get [tex]\mathbf{-3x^6y^2}[/tex]
Option C is correct option.
Step-by-step explanation:
We need to multiply and simplify: [tex]-3x^2y^2 \:.\: x^4[/tex]
Simplifying the term:
[tex]-3x^2y^2 \:.\: x^4[/tex]
While multiplying, the variables with same bases are multiplied: [tex]a^m\:.\:a^n=a^{m+n}[/tex]
In the given question only x^2 and x^4 are variables with same bases, So we get:
[tex]=-3(x^{2+4})y^2\\=-3x^6y^2[/tex]
So, multiplying and simplifying the term [tex]-3x^2y^2 \:.\: x^4[/tex] we get [tex]\mathbf{-3x^6y^2}[/tex]
Option C is correct option.