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

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Answer 1 · 2017-11-26T17:58:59

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

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

${(2 x y^{3} z)}^{3} = 8 x^{3} y^{9} z^{3}$ $(2xy^3z)^3 = 8x^3y^9z^3$

$4 x y z = 4 x y z$ $4xyz = 4xyz$

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

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

How do you simplify (5x2y)2(2xy3z)3(4xyz)(5x^2y)^2(2xy^3z)^3(4xyz)?