Answer:
[tex]10x^6y^{11}z^8[/tex]
Step-by-step explanation:
The expression is:
[tex](2x^2y^6z^5)(5x^4y^5z^3)[/tex]
to simplify we need to multiply the coefficients (2*5) and also we need to multiply the variables with following rule:
[tex]a^m*a^n=a^{m+n}[/tex]
since we have [tex]x^2[/tex] multiplied with [tex]x^4[/tex] we will have [tex]x^6[/tex], and so on with y and z.
Thus, we will get:
[tex](2x^2y^6z^5)(5x^4y^5z^3)[/tex] [tex]=2*5x^{2+4}y^{6+5}z^{5+3}[/tex]
simplifying the expression and the exponents:
[tex](2x^2y^6z^5)(5x^4y^5z^3)[/tex] [tex]=10x^6y^{11}z^8[/tex]
