xriellx
xriellx xriellx
  • 15-07-2016
  • Mathematics
contestada

#54 Simplify and write the answers using positive exponents only.

54 Simplify and write the answers using positive exponents only class=

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apologiabiology
apologiabiology apologiabiology
  • 15-07-2016
gg easy

remember
(x^m)/(x^n)=x^(m-n)
and
(x^m)^n=x^(mn)
and
(xyz)^m=(x^m)(y^m)(z^m)
and
(m/n)^a=(m^a)/(n^a)
and
x^-n=1/(x^n)

so
[tex]( \frac{6mn^{-2}}{3m^{-1}n^2} )^{-3}[/tex]=
[tex]( \frac{6}{3} )^{-3}( \frac{m}{m^{-1}} )^{-3}( \frac{n^{-2}}{n^2} )^{-3}[/tex]=
[tex](2^{-3})((m^2)^{-3})((n^{-4})^{-3})[/tex]=
[tex]( \frac{1}{2^3})(m^{-6})(n^{12}) [/tex]=
[tex]( \frac{1}{8} )( \frac{1}{m^6})(n^{12}) [/tex]=
[tex] \frac{n^{12}}{8m^6} [/tex]

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