Question

Choose the correct simplification of the expression (5x4y2z2)(3x4y3z5).

Answer 1

15x^8y^5z^7

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Answer 2

`(15)(x^(8))(y^(5))(z^(7))`

Explanation:

we have

`(5x^(4)y^(2)z^(2))(3x^(4)y^(3)z^(5))`

Group terms that contain the same variable

`(5x^(4)y^(2)z^(2))(3x^(4)y^(3)z^(5))=(5*3)(x^(4)x^(4))(y^(2)y^(3))(z^(2)z^(5))`

`=(15)(x^(4+4))(y^(2+3))(z^(2+5))`

`=(15)(x^(8))(y^(5))(z^(7))`