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InspectorJoe

  • one year ago

Im trying to solve this problem and my answer keep coming up in decimals. need help 2^6X2^-3/20^10/2-8

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  1. inspectorjoe
    • one year ago
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    \[2^{6}\times2^{-3}\div2^{10}\div2^{-8}\]

  2. Nnesha
    • one year ago
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    don't use calculator. you will not get decimal answer.

  3. inspectorjoe
    • one year ago
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    I'm not which means I must be doing something wrong

  4. Nnesha
    • one year ago
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    ohh nvm then show your work please don't even touch the base just move around the exponents

  5. Nnesha
    • one year ago
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    exponent rule you can't have the negative exponent \[x^{-m}=\frac{ 1 }{ x^m }\] flip the fraction to make it positive exponent

  6. Nnesha
    • one year ago
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    \[\huge\rm \frac{ x^{-m} }{ 1 }=\frac{ 1 }{ x^m }\]

  7. inspectorjoe
    • one year ago
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    are we talking about an imaginary base under the entire problem ? sorry

  8. Nnesha
    • one year ago
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    imaginary base ??? :o

  9. Nnesha
    • one year ago
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    \[\huge\rm \frac{ 2^6 \times 2^{-3} }{ \frac{ 2^{10} }{ 2^{-8}} }\] this is your question right where `2` is the base

  10. inspectorjoe
    • one year ago
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    NO

  11. inspectorjoe
    • one year ago
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    refer to the initial post showing the actual problem

  12. Nnesha
    • one year ago
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    \[\huge\rm \frac{\color{reD}{ 2^6 \times 2^{-3}} }{ \frac{ 2^{10} }{ 2^{-8}} }\] solve the red part first when you `multiply` same bases you should `add` their exponents

  13. inspectorjoe
    • one year ago
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    okay what about the division ? my results now come back to 1^1

  14. Nnesha
    • one year ago
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    alright \[\rm \color{Red}{2^6 \times 2^{-3} }\div 2^{10} \div 2^{-8}\]

  15. inspectorjoe
    • one year ago
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    Yes

  16. Nnesha
    • one year ago
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    same thing. :=) solve the red part first

  17. inspectorjoe
    • one year ago
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    okay than divide from left to right subtracting the exponents right?

  18. inspectorjoe
    • one year ago
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    okay so my new answer is 4^{27}

  19. inspectorjoe
    • one year ago
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    4^27

  20. Nnesha
    • one year ago
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    how did you get 4 ?

  21. zzr0ck3r
    • one year ago
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    there is nothing wrong with decimals

  22. inspectorjoe
    • one year ago
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    2X2

  23. Nnesha
    • one year ago
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    just play with the exponents don't even touch the base

  24. Nnesha
    • one year ago
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    multiply the same u would add their exponents alright \[\rm \color{Red}{2^{6+(-3)} }\div 2^{10} \div 2^{-8}\] like this

  25. inspectorjoe
    • one year ago
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    So leave the base and add and subtract the exponents? new answer\[2^{-36}\]

  26. inspectorjoe
    • one year ago
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    correction sorry wrong numbers

  27. Nnesha
    • one year ago
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    no.. i said when you `multiply` the same bases then u should add \[\huge\rm \color{Red}{2^6 \color{blue}{\times }2^{-3} }\div 2^{10} \div 2^{-8}\] here are multiplying 2^6 times 2^{-3 that's why we should add the base

  28. inspectorjoe
    • one year ago
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    2^21 final answer

  29. Nnesha
    • one year ago
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    \[\huge\rm \color{black}{2^{6+(-3)} }\color{red}{\div} 2^{10} \color{red}{\div }2^{-8}\] different rule when you divide same bases \[\rm \frac{ x^m }{ x^n }=x^{m-n}\]

  30. inspectorjoe
    • one year ago
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    okay so my results should be 2^-15

  31. Nnesha
    • one year ago
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    how did you get -15 ?

  32. inspectorjoe
    • one year ago
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    okay I first did 6+-3= 3 than I did 10- -8= 18 3-18=-15?

  33. Nnesha
    • one year ago
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    thanks for showing your work much appreciated ! \[\huge\rm \frac{ \color{ReD}{\frac{ 2^3 }{ 2^{10}}} }{ 2^{-8} }\] first solve the red part we should move the 10 to the top first and then

  34. Nnesha
    • one year ago
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    \[\huge\rm \frac{ 2^{3+(-10)} }{ 2^{-8}}\] try to solve now!

  35. inspectorjoe
    • one year ago
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    2^1? final answer, I did 3+-10= -7 than -7 - -8= 1 2^1

  36. Nnesha
    • one year ago
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    YAYAY!!

  37. inspectorjoe
    • one year ago
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    Really I though I got it wrong waohh

  38. inspectorjoe
    • one year ago
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    but how did we went from the original problem to this?

  39. inspectorjoe
    • one year ago
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    final one?

  40. Nnesha
    • one year ago
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    we used two exponents rule! \[\huge\rm \frac{ x^m }{ x^n }=x^{m-n}\] divide same base \[\huge\rm x^m \times x^n = x^{m \times n}\] when you multiply same bsses

  41. inspectorjoe
    • one year ago
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    holly cow for some reason I feel lost a bit. questions can you give a practice problem to solve for you.

  42. Nnesha
    • one year ago
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    sure sure \[\huge\rm \frac{\frac{ 3^6 \times 3^7 }{ 3^4} }{ 3^{-5} }\]

  43. inspectorjoe
    • one year ago
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    give me a sec to resolve thanks

  44. zzr0ck3r
    • one year ago
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    I want to make one thing clear: you are of course allowed to have negative exponents it is just that your teacher wants to make sure you can go back and fourth.

  45. Nnesha
    • one year ago
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    so why we can't leave the negative exponent when it says `simplify`

  46. Nnesha
    • one year ago
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    :=)

  47. Nnesha
    • one year ago
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    actually sometimes we could , depends on the answer choices :P haha

  48. anonymous
    • one year ago
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    if you need extra help you can use this site https://mathway.com/

  49. inspectorjoe
    • one year ago
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    thanks pinkiepug I will

  50. anonymous
    • one year ago
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    your welcome ^.^

  51. inspectorjoe
    • one year ago
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    okay here is my answer and problem|dw:1440395883759:dw|

  52. Nnesha
    • one year ago
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    uh-oh |dw:1440395977961:dw| mistake

  53. inspectorjoe
    • one year ago
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    ? humm

  54. Nnesha
    • one year ago
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    |dw:1440396028569:dw| move the 4 to the top when do you that sign would change \[\frac{ x^m }{ x^{n} }=x^{m-n}\]

  55. inspectorjoe
    • one year ago
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    it should be 13-4 = 9

  56. Nnesha
    • one year ago
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    \(\huge\color{green}{\checkmark}\)

  57. inspectorjoe
    • one year ago
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    than 9- (-5)= 14

  58. inspectorjoe
    • one year ago
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    final answer 3^14

  59. Nnesha
    • one year ago
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    perfect! great job!

  60. Nnesha
    • one year ago
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    i'm sooooooooooooooo sleepy gtg bye! good luck!

  61. inspectorjoe
    • one year ago
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    thank you so much have a good night and week

  62. Nnesha
    • one year ago
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    my pleasure /same to u!

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