anonymous
  • anonymous
(x^2/3)^-3
Mathematics
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anonymous
  • anonymous
(x^2/3)^-3
Mathematics
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
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anonymous
  • anonymous
|dw:1327970626555:dw|
anonymous
  • anonymous
two-thirds is the exponent for x
anonymous
  • anonymous
sorry that was confusing but it makes a huge difference, can you help me?

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Rogue
  • Rogue
When you do something to a negative exponent, you reciprocate it to make the exponent positive. So for example...\[(\frac {1}{2})^{-1} = (\frac {2}{1})^{1}\]\[(\frac {2}{3})^{-2} = (\frac {3}{2})^{2}\]
Rogue
  • Rogue
So for your problem, first make the exponent positive.
Rogue
  • Rogue
\[(\frac {x^2}{3})^{-3} = (\frac {3}{x^2})^{3}\]
Rogue
  • Rogue
Do you get that step?
Rogue
  • Rogue
After that, when we raise a fraction to a power, we just raise the numerator and denominator both to that power.\[(\frac {3}{x^2})^3 = \frac {3^3}{(x^{2})^{3}} = \frac {27}{x^6}\]

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