anonymous
  • anonymous
simplify 12a^3b^2 divided by 4ab-2
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
show all working out
anonymous
  • anonymous
Is it 4ab-2 or 4ab^-2 ??
anonymous
  • anonymous
4ab^-2

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anonymous
  • anonymous
The answer is 3a^2b^4 The working is as below :
anonymous
  • anonymous
\[12a ^{3}b ^{2}\] 12 ---------------- = ---- x \[a ^{3-1} x b ^{2- (-2)}\] \[4ab ^{-2}\] 4
anonymous
  • anonymous
Sorry it didn't come out right!! Ill do it again We will use the Law \[a ^{m} \div a ^{n} = a ^{m-n}\]
anonymous
  • anonymous
thank you so much for all your trouble you are going through
anonymous
  • anonymous
so it becomes \[12a ^{3}b ^{-2} = 12 a ^{3-1}b ^{2-(-2)}\] ------- ----------- 4ab^-2 4
anonymous
  • anonymous
Now 12/4 = 3, so final answer is \[3a ^{2}b ^{4}\]
anonymous
  • anonymous
Hope it is clear!!
anonymous
  • anonymous
??????
anonymous
  • anonymous
thats great
anonymous
  • anonymous
Got a medal for me???

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