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