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Cutiepo0

  • 3 years ago

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

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  1. satellite73
    • 3 years ago
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    bet you got the idea now. write it without the negative exponents. then clear the fractions

  2. Cutiepo0
    • 3 years ago
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    Okay so:

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

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

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

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

  7. satellite73
    • 3 years ago
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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 \[5^6\]

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

  9. Cutiepo0
    • 3 years ago
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    please do, thanks

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

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

  12. Cutiepo0
    • 3 years ago
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    pardon?

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

  14. Cutiepo0
    • 3 years ago
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    okay

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

  16. Cutiepo0
    • 3 years ago
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    mmhm

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

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

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

  20. satellite73
    • 3 years ago
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    oops yes

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

  22. satellite73
    • 3 years ago
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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 \[\frac{24}{130}=\frac{12}{65}\]

  23. satellite73
    • 3 years ago
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    good! yw

  24. emilystardawn
    • 3 years ago
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    i like ur pic

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