anonymous
  • anonymous
Use the properties of exponents to simplify each of the following expressions, writing your answer with only positive exponents.
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
\[\left[ 5m^4n^{-2})^{-1} \right]^{-2}\]
anonymous
  • anonymous
(m^8)/(25n^4)
anonymous
  • anonymous
How did you solve it Meverett04? Can you show me the steps please?

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EscherichiaRinku
  • EscherichiaRinku
\[(x^m)^n = x^{mn}\] and \[x^{-m} = \frac{1}{x^m}\] is what you need here
anonymous
  • anonymous
For m, multiply the exponents 4 times -1 times -2 equals 8
anonymous
  • anonymous
For n, multiply the exponents -2 times -1 times -2 equals -4 but since we have a negative four, this will go in the denominator with a positive 4
anonymous
  • anonymous
For 5 5^2 or five squared is 25, but since we have a negative exponent, we place the 25 in the denominator
anonymous
  • anonymous
thanks man!
anonymous
  • anonymous
here is another problem if you would like to help me solve it.
anonymous
  • anonymous
\[\left[ 100^0(x^{-1}y^3)^{-1}/x^2y \right]^{-3}\]
anonymous
  • anonymous
I didn't know how to post it as a fraction but if i did x^2y would be the denominator.

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