anonymous
  • anonymous
Simplify (x^-4) over (x^-2). I know this is really simple I just don't know how to go about solving it >.<
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
freckles
  • freckles
\[\frac{x^{a}}{x^{b}}=x^{a-b} \text{ by quotient rule }\]
freckles
  • freckles
you have the same base so your answer will be that base to the power of (top exponent - bottom exponent )

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anonymous
  • anonymous
So, x^-2?
freckles
  • freckles
-4-(-2) -4+2 -2 the exponent is -2 good job! :)
freckles
  • freckles
and from previous thread you can rewrite without negative exponent by doing,,
anonymous
  • anonymous
Ahh, I love you! Thanks a bunch
freckles
  • freckles
\[x^{-a}=\frac{1}{x^{a}}\]
freckles
  • freckles
np
anonymous
  • anonymous
Exactly what I was going to do ;)
freckles
  • freckles
great stuff!

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