Question

Multiply and simplify.
2x^2 y^3 z^2 · 4xy^4 x^2
I will mark you brainliest if right. Show how you got the answer, please!

Answer 1

ANSWER


$8 {x}^{5} {y}^{7} {z}^{2}$


EXPLANATION


The given expression is

$2 {x}^{2} {y}^{3} {z}^{2} \times 4x {y}^{4} {x}^{2}$


We multiply out to obtain,


$= 2 \times 4 \times {x}^{2} \times x \times {x}^{2} \times {y}^{3} \times {y}^{4} \times {z}^{2}$

Recall that,

${a}^{m} \times {a}^{n} = {a}^{m + n}$


We apply this rule to obtain,

$= 8 {x}^{2 + 1 + 2} {y}^{3 + 4} {z}^{2}$

This simplifies to
$= 8 {x}^{5} {y}^{7} {z}^{2}$