Answer:
[tex]6x^{8}y^{5}[/tex]
Step-by-step explanation:
Given [tex](3x^{2}y^{4}) (2x^{6}y)[/tex]:
Using the exponent rule: [tex]a^{b} * a^{c} = a^{b + c}[/tex]
Add the exponents of x and y, and multiply the coefficients (3 and 2):
= [tex]3*2 x^{(2+6)} y^{(4+1)}[/tex] (in the second term, [tex](2x^{6}y)[/tex], y has an exponent of 1).
The correct answer is: [tex]6x^{8}y^{5}[/tex]
