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  • 16-06-2018
  • Mathematics
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(2x9y^n)(4x2y10)=8x11y20

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gmany
gmany gmany
  • 16-06-2018
[tex](2x^9y^n)(4x^2y^{10})=8x^{11}y^{20}\\\\(2\cdot4)(x^9\cdot x^2)(y^n\cdot y^{10})=8x^{11}y^{20}\\\\8x^{9+2}y^{n+10}=8x^{11}y^{20}\\\\8x^{11}y^{n+10}=8x^{11}y^{20}\Rightarrow n+10=20\ \ \ |-10\\\\\boxed{n=10}[/tex]

[tex]\text{Used:}\\a^n\cdot a^m=a^{n+m}[/tex]
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