Solution:
we have been asked to find the correct simplification of the given expression.
The given expression is
[tex] (4x^3y^2z^4)(2x^3y^4z^3) \\ [/tex]
This can be further written as
[tex] (4x^3y^2z^4)(2x^3y^4z^3)=4*2*( x^3*x^3)*(y^2)(y^4)*(z^4)(z^3)\\ \\(4x^3y^2z^4)(2x^3y^4z^3)=8( x^3*x^3)*(y^2)(y^4)*(z^4)(z^3)\\ \\\text{Now we will simplify using the exponent rule }\\\\(a^m)(a^n)=a^{m+n}\\\\(4x^3y^2z^4)(2x^3y^4z^3)=8*x^6*y^6*z^7\\\\\text{It can be further written as }\\\\ (4x^3y^2z^4)(2x^3y^4z^3)=8x^6y^6z^7\\ [/tex]
