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anonymous

  • one year ago

(6^?)^-4 = 6^20

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  1. anonymous
    • one year ago
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    @Lady.Liv1776 @Nnesha @pooja195 Pls help

  2. Nnesha
    • one year ago
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    \[\huge\rm (6^?)^{-4} = 6^{20}\] am ir right ?

  3. anonymous
    • one year ago
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    Yes

  4. Nnesha
    • one year ago
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    exponent rule \[\huge\rm (x^m)^n=x^{m \times n}\]

  5. anonymous
    • one year ago
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    m=20*(-4) ?

  6. Nnesha
    • one year ago
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    well m is missing exponent n =-4 so basically thats mean m times n = -20

  7. anonymous
    • one year ago
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    okay i kinda get it

  8. Nnesha
    • one year ago
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    \[\huge\rm (6^\color{ReD}{?})^{\color{blue}{-4}} = 6^{\color{purple}{20}}\] \[\huge\rm (x^\color{Red}{m})^\color{blue}{n}=x^{\color{red}{m} \times\color{blue}{ n}} =x^{\color{purple}{mn}}\]

  9. Nnesha
    • one year ago
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    \(\color{blue}{\text{Originally Posted by}}\) @pielover123 m=20*(-4) ? \(\color{blue}{\text{End of Quote}}\) this should be -4 * m = 20

  10. anonymous
    • one year ago
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    Okay so -4*m which is -4m then times it by 20? which would be -80m?

  11. Nnesha
    • one year ago
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    why did you mutliply -4m by 20 ?

  12. Nnesha
    • one year ago
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    -4m =20 how would you solve for m ?

  13. Nnesha
    • one year ago
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    in other words m times n = 20 -4 times what = 20 ?

  14. anonymous
    • one year ago
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    -4*5 right?

  15. Nnesha
    • one year ago
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    -4 times 5 = ??

  16. anonymous
    • one year ago
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    is -20

  17. Nnesha
    • one year ago
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    now look at the original question is it 6^{-20} ?

  18. anonymous
    • one year ago
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    Im confused now sorry

  19. Nnesha
    • one year ago
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    let samy missing exponent is m \[\huge\rm (6^m)^{-4}=6^{m \times -4}=6^{20}\] m would be what ?

  20. Nnesha
    • one year ago
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    -4 times 5 = -20 but there is positive 20

  21. anonymous
    • one year ago
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    so make them all a negative?

  22. Nnesha
    • one year ago
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    what do you mean by `all` 20 as well ?

  23. anonymous
    • one year ago
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    yes

  24. Nnesha
    • one year ago
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    or you can set it like this -4m =20 solve for m

  25. Nnesha
    • one year ago
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    we have to prove it that left side is equal to right side we can't change the right hand side

  26. Nnesha
    • one year ago
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    \[\rm -4m=20\] solve for m plz

  27. anonymous
    • one year ago
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    5 right?

  28. Nnesha
    • one year ago
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    20/-4= ?

  29. Nnesha
    • one year ago
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    remember `negative ` times ` negative` = positive `negative ` divide by `negative` = positive

  30. Nnesha
    • one year ago
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    negative times positive = negative negative divide by positive number = negative

  31. anonymous
    • one year ago
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    so it s -5 then

  32. Nnesha
    • one year ago
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    yes right!

  33. Nnesha
    • one year ago
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    -4 times -5 = 20

  34. anonymous
    • one year ago
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    6^-5 is right then

  35. Nnesha
    • one year ago
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    yep right

  36. anonymous
    • one year ago
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    thanks :D

  37. Nnesha
    • one year ago
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    np D:

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