Question

Choose the correct simplification of (3x3y4z4)(2x3y4z2).

Answer 1

6x^6y^8z^6

Explanation:

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

= 6x^(3+3) y^(4+4) z^(4+2)

= 6x^6y^8z^6

Answer 2

The simplified form of given expression is
`6x^6y^8z^6`.

Explanation:

The given expression is

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

On multiplication of constants, we get

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

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

It can be written as

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

Using product property of exponent, we get

`6x^(3+3)y^(4+4)z^(4+2)`
`[\becuase a^ma^n=a^(m+n)]`

`6x^6y^8z^6`

Therefore the simplified form of given expression is
`6x^6y^8z^6`.