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Cutiepo0 Group Title

How to evaluate -> (5^-4 - 5^-6)/(5^-3 +5^-5)

  • 3 years ago
  • 3 years ago

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  1. satellite73 Group Title
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    bet you got the idea now. write it without the negative exponents. then clear the fractions

    • 3 years ago
  2. Cutiepo0 Group Title
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    Okay so:

    • 3 years ago
  3. satellite73 Group Title
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    \[\frac{5^{-4} - 5^{-6}}{5^{-3} +5^{-5}}\] muttiply top and bottom by \[5^6\]

    • 3 years ago
  4. Cutiepo0 Group Title
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    I got (1/5^4 - 1/5^6)/ (1/5^3 +1/5^5)

    • 3 years ago
  5. Cutiepo0 Group Title
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    wait. How come I have to multiply top and bottom by 5^6?

    • 3 years ago
  6. satellite73 Group Title
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    that will clear the fractions. \[5^{-4}\times 5^6=5^2\]

    • 3 years ago
  7. satellite73 Group Title
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    if you want you can write this in fraction notation. then you will see that you should multiply top and bottom by \[5^6\]

    • 3 years ago
  8. satellite73 Group Title
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    i will write it out if you like

    • 3 years ago
  9. Cutiepo0 Group Title
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    please do, thanks

    • 3 years ago
  10. satellite73 Group Title
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    \[\frac{5^{-4}-5^{-6}}{5^{-3}+5^{-5}}\times \frac{5^6}{5^6}\]

    • 3 years ago
  11. satellite73 Group Title
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    \[\frac{5^2-1}{5^3+5}\] is the second line clear?

    • 3 years ago
  12. Cutiepo0 Group Title
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    pardon?

    • 3 years ago
  13. satellite73 Group Title
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    i added the exponents, and i chose \[5^6\] so that they would all be positive

    • 3 years ago
  14. Cutiepo0 Group Title
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    okay

    • 3 years ago
  15. satellite73 Group Title
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    because i want to evaluate the numbers, i need the exponents to be positive

    • 3 years ago
  16. Cutiepo0 Group Title
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    mmhm

    • 3 years ago
  17. satellite73 Group Title
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    now i can see what the numbers are. numerator is 25+1=26

    • 3 years ago
  18. satellite73 Group Title
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    denominator is 125+5=130

    • 3 years ago
  19. Cutiepo0 Group Title
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    Isn't the numerator 25-1?

    • 3 years ago
  20. satellite73 Group Title
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    oops yes

    • 3 years ago
  21. Cutiepo0 Group Title
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    Okay, that's great, thanks :) I was making it way more complicated thn it needed to be

    • 3 years ago
  22. satellite73 Group Title
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    i would like to say that was a "typo" but i guess it was a mistake. in any case you have the answer, it is \[\frac{24}{130}=\frac{12}{65}\]

    • 3 years ago
  23. satellite73 Group Title
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    good! yw

    • 3 years ago
  24. emilystardawn Group Title
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    i like ur pic

    • 3 years ago
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