# How do you simplify (5x^2y)^2(2xy^3z)^3(4xyz)?

Nov 26, 2017

$400 {x}^{8} {y}^{12} {z}^{4}$

#### Explanation:

${\left(5 {x}^{2} y\right)}^{2} = 25 {x}^{4} {y}^{2}$

${\left(2 x {y}^{3} z\right)}^{3} = 8 {x}^{3} {y}^{9} {z}^{3}$

$4 x y z = 4 x y z$

$25 {x}^{4} {y}^{2} \cdot 8 {x}^{3} {y}^{9} {z}^{3} \cdot 4 x y z$ = $400 {x}^{8} {y}^{12} {z}^{4}$

ANSWER: $400 {x}^{8} {y}^{12} {z}^{4}$