How do you simplify $(6 x^{2} y^{2}) {(- x y^{4})}^{5}$ $(6x^2y^2)(-xy^4)^5$ ?

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How do you simplify $(6 x^{2} y^{2}) {(- x y^{4})}^{5}$ $(6x^2y^2)(-xy^4)^5$ ?

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Answer 1 · 2015-07-11T06:44:14

$- 6 x^{7} y^{22}$ $-6x^7y^22$

Explanation:

Step 1: Move the bracketed powers into the inner terms:
$(6 x^{2} y^{2}) {(- x y^{4})}^{5} = (6 x^{2} y^{2}) (- x^{5} y^{20})$ $(6x^2y^2)(-xy^4)^5=(6x^2y^2)(-x^5y^20)$

Step 2: Combine the terms in the two brackets:
$(6 x^{2} y^{2}) (- x^{5} y^{20}) = - 6 x^{7} y^{22}$ $(6x^2y^2)(-x^5y^20)=-6x^7y^22$

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How do you simplify $(6 x^{2} y^{2}) {(- x y^{4})}^{5}$ $(6x^2y^2)(-xy^4)^5$ ?

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How do you simplify $(6 x^{2} y^{2}) {(- x y^{4})}^{5}$ $(6x^2y^2)(-xy^4)^5$ ?