anonymous
  • anonymous
How would you explain to your friend why the quotient of x^8 and x^2 is x^6 and not x^4 ?
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
Rewrite x^8 as x*x*x*x*x*x*x*x/x*x. Simplify using division to get x*x*x*x*x*x which is the same as x^6
anonymous
  • anonymous
Whi isn't it the same as x^4?
anonymous
  • anonymous
Because you can't treat exponents like multiplication. While 8x/2x = 4x, x^6/x^2 = x^6. Basically, (x^a)/(x^b) = x^(a-b)

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anonymous
  • anonymous
Is there a much more simple way of writing the x^8 and x^2
anonymous
  • anonymous
\[x^8 = x*x*x*x*x*x*x*x\] or \[x^2^3\]
amistre64
  • amistre64
Like terms cancel in fractions: x^8 means you have 8 little "x"s on top part x^2 means you have 2 little "x"s on the bottom part cancel 2 little "x"s from the top and your left with 6 little "x"s. cancel 2 little "x"s from the bottom and your left with the number "1". 6 little "x"s over the number "1" means x^6 :)

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