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Spring98

  • one year ago

simplify 5^-4/5^3. Do I add the exponents?

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  1. CGGURUMANJUNATH
    • one year ago
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    5^(-4-3)

  2. Spring98
    • one year ago
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    so will the answer be 5^7 @CGGURUMANJUNATH

  3. Jhannybean
    • one year ago
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    \[\large \frac{x^n}{x^m} = x^{n-m}\] therefore \[\frac{5^{-4}}{5^3} = 5^?\]

  4. Spring98
    • one year ago
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    5^7

  5. Jhannybean
    • one year ago
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    Not quite. Remember that we are SUBTRACTING the power in the numerator from the power in the denominator.

  6. Spring98
    • one year ago
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    o so it would be 5^-1 right?

  7. CGGURUMANJUNATH
    • one year ago
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    5^(-7)

  8. Jhannybean
    • one year ago
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    no. -4 - 3 = - (4+3) = ?

  9. anonymous
    • one year ago
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    \[\frac{ 1 }{ 5^{4} 5^{3}}\]

  10. Spring98
    • one year ago
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    1/5^7

  11. Jhannybean
    • one year ago
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    Yes that's another way to do it @yinkim52001

  12. Jhannybean
    • one year ago
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    Good, and what is 5\(^7\)?

  13. anonymous
    • one year ago
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    which is\[\frac{ 1 }{ 5^{7} }\]

  14. anonymous
    • one year ago
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    thats your answer

  15. anonymous
    • one year ago
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    i know there's another way just show her the steps @Jhannybean

  16. Spring98
    • one year ago
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    thanks for your help.

  17. anonymous
    • one year ago
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    No problem

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