Question

Choose the correct simplification of the expression (4x3y2z4)(2x3y4z3).

1. 8x9y8z12
2. 6x6y6z7
3. 8x6y6z7
4. 6x9y8z12

Answer 1

its the 1st one just multiply it out

Answer 2

we have been asked to find the correct simplification of the given expression.

The given expression is

`(4x^3y^2z^4)(2x^3y^4z^3) \\`

This can be further written as

`(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\\`