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anonymous

  • one year ago

Simplify 11 to the negative 4th power over 11 to the 8th power. 1 over 11 to the 12th power 1 over 11 to the 4th power 114 1112

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  1. anonymous
    • one year ago
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    @phi

  2. phi
    • one year ago
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    \[ \frac{11^{-4} }{11^8} \]

  3. anonymous
    • one year ago
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    yup

  4. phi
    • one year ago
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    can you rewrite the 11^-4 so we get a +4 ? (remember how to do that ?)

  5. anonymous
    • one year ago
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    yes we flip

  6. anonymous
    • one year ago
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    i think it would be 1/11^4

  7. phi
    • one year ago
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    yes. so we now have \[ \frac{1}{11^4} \cdot \frac{1}{11^8} = \frac{1}{11^4\cdot 11^8}\]

  8. anonymous
    • one year ago
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    yup

  9. phi
    • one year ago
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    11^4 means 11* 11*11*11 11^8 means 11*11*11*11* 11*11*11*11 what do we get when we multiply that all together?

  10. anonymous
    • one year ago
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    121

  11. phi
    • one year ago
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    ?

  12. anonymous
    • one year ago
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    you said when we multiply it together?

  13. phi
    • one year ago
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    I don't mean multiply it out and get a number. just show them being multiplied like this 11* 11*11*11 * 11* 11*11*11* 11* 11*11*11

  14. anonymous
    • one year ago
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    oh woops lol sorry

  15. phi
    • one year ago
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    people use exponents to write that in short-hand. can you ?

  16. anonymous
    • one year ago
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    umm idk what short hand is

  17. phi
    • one year ago
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    we have 11 times itself how many times ? 11* 11*11*11 * 11* 11*11*11* 11* 11*11*11

  18. anonymous
    • one year ago
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    12 times

  19. phi
    • one year ago
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    and how do we show that using exponents?

  20. anonymous
    • one year ago
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    11^12?

  21. phi
    • one year ago
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    yes. notice that is easier to type than 11* 11*11*11 * 11* 11*11*11* 11* 11*11*11

  22. anonymous
    • one year ago
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    way easier

  23. anonymous
    • one year ago
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    ohhh thats the answer to

  24. phi
    • one year ago
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    so here is what you have \[ \frac{11^{-4} }{11^8}= \frac{ 1}{11^{4}\cdot 11^8}= \frac{1}{11^{12}} \]

  25. anonymous
    • one year ago
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    yup

  26. phi
    • one year ago
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    you should notice that 11^4 * 11^8 means 11* 11*11*11 * 11* 11*11*11* 11* 11*11*11 but it is faster to say: 4 11's and 8 11's is 12 11's in other words, notice the short cut: 4+8 =12 11^4 * 11^8 = 11^12

  27. anonymous
    • one year ago
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    mmmhhh

  28. anonymous
    • one year ago
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    it takes up space ifyou write it out also

  29. phi
    • one year ago
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    the thing you should try to remember is when multiplying, you can add the exponents. that is the short cut they want you to learn.

  30. anonymous
    • one year ago
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    oh

  31. anonymous
    • one year ago
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    ok

  32. anonymous
    • one year ago
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    so the answer is 1/11^12

  33. phi
    • one year ago
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    yes and if they were being trick the answer could also be 11^(-12)

  34. anonymous
    • one year ago
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    yuppp

  35. anonymous
    • one year ago
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    thanks again and i have like 2 or 3 more if you can still help it would be great

  36. phi
    • one year ago
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    new post

  37. anonymous
    • one year ago
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    ok

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