How do you simplify #(6x^2y^2)(-xy^4)^5# leaving only positive exponents?

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Answer 1 · 2018-03-14T04:39:25

#= (color(indigo)(- 6 x^7 y^22))#

#( 6x^2 y^2) * ( - xyy^4)^5#

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#=> (6 x^2y^2) * (-1)^5 * (xy^4)^5#

#=> - (6x^2y^2) * (xy^4)^5 color(white)(aaa) # as #color(purple)((-1)^5 = -1#

#=> - (6x^2y^2) * (x^5 y^20)#

#=> - (6 x^2 x^5 y^2y20) # Rearranging terms.

#=> - 6 x^(2+5) * y^(2 + 20) = (color(indigo)(- 6 x^7 y^22))#