Question

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

Answer 1

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

Answer 2

`10x^6y^(11)z^8`

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`