How do you multiply -3(2x)^4(4x^5y)^23(2x)4(4x5y)2?

2 Answers
Mar 2, 2018

768x^14y^2768x14y2

Explanation:

-3(2x)^4(4x^5y)^23(2x)4(4x5y)2
-3*16x^4*16x^10y^2316x416x10y2
-3*16*16*x^4*x^10*y^231616x4x10y2
768x^14y^2768x14y2

Mar 2, 2018

-3(2x)^4(4x^5y)^2= -768x^14y^23(2x)4(4x5y)2=768x14y2

Explanation:

-3(2x)^4(4x^5y)^23(2x)4(4x5y)2
= -3(2^4x^4)(4^2(x^5)^2y^2)=3(24x4)(42(x5)2y2)
=-3(16)(x^4)(16)(x^10)(y^2)=3(16)(x4)(16)(x10)(y2)
= -768x^4x^10y^2=768x4x10y2
= -768x^14y^2=768x14y2