tristanwh1214 tristanwh1214
  • 23-05-2018
  • Mathematics
contestada

Which expression is equivalent to (a^-3 b/a^-5 b3)^-3? Assume a=0, b=0.

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gmany
gmany gmany
  • 27-05-2018
[tex]Use:\\\\\dfrac{a^n}{a^m}=a^{n-m}\\\\(a^n)^m=a^{nm}\\\\a^{-n}=\dfrac{1}{a^n}\\\\(ab)^n=a^nb^n[/tex]

[tex]\left(\dfrac{a^{-3}b}{a^{-5}b^3}\right)^{-3}=\left(a^{-3-(-5)}b^{1-3}\right)^{-3}=\left(a^{-3+5}b^{-2}\right)^{-3}=\left(a^2b^{-2}\right)^{-3}\\\\=(a^2)^{-3}(b^{-2})^{-3}=a^{2(-3)}b^{-2(-3)}=a^{-6}b^6=\dfrac{b^6}{a^6}[/tex]
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