Spring98
  • Spring98
What is the simplified expression for https://cv-kettle-falls.brainhoney.com/Resource/30603643,0/Assets/75122_53df8565/01_08_23.gif
Mathematics
katieb
  • katieb
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katieb
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Spring98
  • Spring98
Spring98
  • Spring98
anonymous
  • anonymous
\[\frac{3^4}{3^5}=\frac{1}{3^{5-4}}=\frac{1}{3}\] takes care of the threes

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Spring98
  • Spring98
1/3 is answer?
anonymous
  • anonymous
no that only takes care of the threes you still have to take care of the fours
anonymous
  • anonymous
\[\frac{4^{-3}\times 4^2}{4^{-2}}\]is still there requires some bookkeeping with the exponents
anonymous
  • anonymous
you can write this in one line as \[4^{-3}\times 4^2\times 4^2\] then add up the exponents
Spring98
  • Spring98
so is it 4^1
anonymous
  • anonymous
yeah better know as \(4\)
anonymous
  • anonymous
final answer \[\huge \frac{4}{3}\]
Spring98
  • Spring98
thank you

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