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anonymous

  • one year ago

Simplify 12 to the 3rd over 12 to the 7th. 12^4 1 over 12 to the 4th 1 over 12 to the negative 4th 12^10

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  1. anonymous
    • one year ago
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    @phi

  2. phi
    • one year ago
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    \[ \frac{12^3}{12^7} \] any idea what \[ \frac{12}{12} \] is ?

  3. anonymous
    • one year ago
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    12/12 would equal to 1 right?

  4. phi
    • one year ago
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    yes. as you know , when you multiply fractions you multiply top times top and bottom times bottom, right ?

  5. anonymous
    • one year ago
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    ya top and top bottom and bottom

  6. phi
    • one year ago
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    \[ \frac{12\cdot 12\cdot 12}{12\cdot 12\cdot 12} \cdot \frac{1}{12\cdot 12\cdot 12\cdot 12}\] do you see that is 12^3 / 12^7 ?

  7. anonymous
    • one year ago
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    yes

  8. phi
    • one year ago
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    do you also see the first part can be simplified? something divided by itself is what ?

  9. anonymous
    • one year ago
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    hmm

  10. anonymous
    • one year ago
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    i dont see what can be divided

  11. phi
    • one year ago
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    or perhaps you should notice \[ \frac{12\cdot 12\cdot 12}{12\cdot 12\cdot 12} = \frac{12}{12} \cdot \frac{12}{12} \cdot \frac{12}{12}\]

  12. anonymous
    • one year ago
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    mmmm

  13. anonymous
    • one year ago
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    if they got multiplied together and divided? maybe??

  14. phi
    • one year ago
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    the right side, if you multiply tops you get 12*12*12 and ditto for the bottom. both sides mean the same thing but what is 12/12 if you simplify first?

  15. anonymous
    • one year ago
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    12/12 simplified is 1

  16. phi
    • one year ago
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    and what is 1*1*1? it is 1 \[ \frac{12\cdot 12\cdot 12}{12\cdot 12\cdot 12} = \frac{12}{12} \cdot \frac{12}{12}\cdot \frac{12}{12} = 1 \cdot 1 \cdot 1 \] (12*12*12)/(12*12*12) is an example of something (in this case 12*12*12) divided by itself. you get 1

  17. anonymous
    • one year ago
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    ohhh

  18. anonymous
    • one year ago
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    ok

  19. phi
    • one year ago
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    so simplify \[ \frac{12\cdot 12\cdot 12}{12\cdot 12\cdot 12} \cdot \frac{1}{12\cdot 12\cdot 12\cdot 12} \]

  20. anonymous
    • one year ago
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    1/12^4?

  21. anonymous
    • one year ago
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    because the 4 12?

  22. phi
    • one year ago
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    and the first part (12*12*12)/(12*12*12) is just 1 and when we multiply by 1 we can ignore it. so yes 1/12^4

  23. anonymous
    • one year ago
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    alrighty:D

  24. anonymous
    • one year ago
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    and im taking it as 1/12^4 is the answer also?

  25. phi
    • one year ago
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    the short cut is subtract top exponent minus bottom exponent \[ \frac{12^3}{12^7} = 12^{3-7} = 12^{-4} = \frac{1}{12^4} \]

  26. anonymous
    • one year ago
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    ohhhh

  27. anonymous
    • one year ago
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    let me take a pic of thats because thats useful

  28. anonymous
    • one year ago
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    ok thats it

  29. anonymous
    • one year ago
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    let me submmit it

  30. anonymous
    • one year ago
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    your the best we got a 100%

  31. anonymous
    • one year ago
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    thanks man your the best if i could rate you id give u a million stars xD

  32. phi
    • one year ago
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    yw

  33. anonymous
    • one year ago
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    OK THANKS MAN BYE!!

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