21hendlill
21hendlill 21hendlill
  • 02-11-2019
  • Mathematics
contestada

Simplify the expression where possible. (x^4y^2)^3

Respuesta :

SouthernRider
SouthernRider SouthernRider
  • 07-11-2019

Answer:

[tex]x^{12}*y^6[/tex]

Step-by-step explanation:

We know that [tex](a*b)^{m}=a^{m}*b^{m}[/tex]

Given [tex](x^{4}*y^{4})^{3}[/tex]

here a=[tex]x^{4}[/tex] and b=[tex]y^{4}[/tex]

by using the above principle we get

[tex](x^{4}*y^{4})^{3}[/tex]=[tex](x^{4})^{3}*(y^{2})^{3}[/tex]

We know that [tex](a^{m})^{n}=a^{mn}[/tex]

[tex](x^{4}*y^{4})^{3}[/tex]=[tex]x^{4*3}*y^{2*3}[/tex]=[tex]x^{12}*y^6[/tex]

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