Question

Choose the correct simplification of the expression (2x^2y^6z^5)(5x^4y^5z^3)

Answer 1

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:

$(2x^2y^6z^5)(5x^4y^5z^3)$ $=10x^6y^{11}z^8$

Answer 2

2 x^2 y^6 z^5
5 x^4 y^5 z^3
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10 ^6 ^11 ^8