Question

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

Answer 1

Answer:

6x^6y^8z^6

Step-by-step explanation:

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

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

= 6x^6y^8z^6

Answer 2

Answer:

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

Step-by-step explanation:

The given expression is

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

On multiplication of constants, we get

$(3\times 2)(x^3y^4z^4)(x^3y^4z^2)$

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

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 $6x^6y^8z^6$.