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anonymous

  • one year ago

MEDAL = FAN What value of c solves the equation?

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  1. anonymous
    • one year ago
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  2. Nnesha
    • one year ago
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    remember this exponent rule \[\huge\rm x^{-m}=\frac{ 1 }{ x^{-m} }\] if there is negative exponent then you should `flip` the fraction.

  3. anonymous
    • one year ago
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    what do you men by flip the fraction?

  4. anonymous
    • one year ago
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    mean**

  5. freckles
    • one year ago
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    I know it was just a type-o :p \[x^{-m}=\frac{1}{x^{\color{red}m}}\]

  6. Nnesha
    • one year ago
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    like in this example x^{-m} is same as x^{-m} over one \[\huge\rm \frac{ x^{-m }}{ 1 }= \frac{ 1 }{ x^m }\] in other words reciprocal of x^{-m}/1 is 1/x^m

  7. Nnesha
    • one year ago
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    2/3 when you flip it you will get 3/2 right ?

  8. anonymous
    • one year ago
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    Yes.

  9. anonymous
    • one year ago
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    So if I flip, I will get \[\frac{ 16 }{ 1 }\]

  10. anonymous
    • one year ago
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    If that's what you mean

  11. Nnesha
    • one year ago
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    that's exactly how u should flip the fraction but i meant to say that c should be negative so that's 4^c is equal to 1 over 16

  12. Nnesha
    • one year ago
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    \[\huge\rm \frac{ 4^{-c} }{ 1 }= \frac{ 1 }{ 16 }\] \[\frac{ 4^{-c} }{ 1 } = ?\]

  13. anonymous
    • one year ago
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    And how do i figure out 4-^c?

  14. Nnesha
    • one year ago
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    let's do the other way \[\huge\rm 4^c =16\] reciprocal of 1/6 is 16 now 4 to the what power = 16?

  15. Nnesha
    • one year ago
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    1/16**

  16. anonymous
    • one year ago
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    the 3rd?

  17. Nnesha
    • one year ago
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    4^3 is same 4 times 4 times 4 which is not equalto 16

  18. anonymous
    • one year ago
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    my mistake, 4^2.

  19. anonymous
    • one year ago
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    does c = 2?

  20. Nnesha
    • one year ago
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    actually my bad first we write it in exponent form and then we should flip it i'm sorry \[\huge\rm 4^c=\frac{ 1 }{ 4^2 }\] now flip the fraction when you do that sign would change

  21. Nnesha
    • one year ago
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    \[\huge\rm 4^c= 4^{-2}\] now cancel out 4

  22. anonymous
    • one year ago
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    C=-2?

  23. Nnesha
    • one year ago
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    yes right

  24. Nnesha
    • one year ago
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    now just to check ur answer substitute c for -2 \[\frac{ 4^{-2} }{ 1 }=\frac{ 1 }{ 16 }\]both sides re equal good to go! remember there is negative exponent so don't forget to flip the fraction :P

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