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ANSWER


[tex] 8 {x}^{5} {y}^{7} {z}^{2} [/tex]


EXPLANATION


The given expression is

[tex]2 {x}^{2} {y}^{3} {z}^{2} \times 4x {y}^{4} {x}^{2} [/tex]


We multiply out to obtain,


[tex] = 2 \times 4 \times {x}^{2} \times x \times {x}^{2} \times {y}^{3} \times {y}^{4} \times {z}^{2} [/tex]

Recall that,

[tex] {a}^{m} \times {a}^{n} = {a}^{m + n}[/tex]


We apply this rule to obtain,

[tex] = 8 {x}^{2 + 1 + 2} {y}^{3 + 4} {z}^{2} [/tex]

This simplifies to
[tex] = 8 {x}^{5} {y}^{7} {z}^{2} [/tex]

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