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anonymous

  • 4 years ago

Use the properties of exponents to simplify each of the following expressions, writing your answer with only positive exponents.

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  1. anonymous
    • 4 years ago
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    \[\left[ 5m^4n^{-2})^{-1} \right]^{-2}\]

  2. anonymous
    • 4 years ago
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    (m^8)/(25n^4)

  3. anonymous
    • 4 years ago
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    How did you solve it Meverett04? Can you show me the steps please?

  4. EscherichiaRinku
    • 4 years ago
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    \[(x^m)^n = x^{mn}\] and \[x^{-m} = \frac{1}{x^m}\] is what you need here

  5. anonymous
    • 4 years ago
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    For m, multiply the exponents 4 times -1 times -2 equals 8

  6. anonymous
    • 4 years ago
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    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

  7. anonymous
    • 4 years ago
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    For 5 5^2 or five squared is 25, but since we have a negative exponent, we place the 25 in the denominator

  8. anonymous
    • 4 years ago
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    thanks man!

  9. anonymous
    • 4 years ago
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    here is another problem if you would like to help me solve it.

  10. anonymous
    • 4 years ago
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    \[\left[ 100^0(x^{-1}y^3)^{-1}/x^2y \right]^{-3}\]

  11. anonymous
    • 4 years ago
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    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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