jaylentorres02 jaylentorres02
  • 16-10-2018
  • Mathematics
contestada

Simplify. Evaluate the numerical bases 3^2 b^2 c^-4 muliplied by 3^-1 b^5 c^7

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choixongdong
choixongdong choixongdong
  • 16-10-2018

3^2 b^2 c^-4 x by 3^-1 b^5 c^7

= 3^(2 -1) * b^(2 + 5) * c^(-4 + 7)

= 3^1 b^7 c^3

=  3 b^7 c^3

Answer Link
gmany
gmany gmany
  • 16-10-2018

[tex](3^2b^2c^{-4})(3^{-1}b^5c^7)[/tex]

use associative and commutative property

[tex]=(3^2\cdot3^{-1})(b^2b^5)(c^{-4}c^7)[/tex]

use [tex]a^n\cdot a^m=a^{n+m}[/tex]

[tex]=3^{2+(-1)}b^{2+5}c^{-4+7}\\\\=\boxed{3b^7c^3}[/tex]

Answer Link

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