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]
