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anonymous

  • one year ago

Simplify 2 to the 5th over 3 squared all raised to the 4th power. 2 to the 20th over 3 to the 8th 2 to the 9th over 3 to the 8th 8 to the 5th over 12 to the 2nd 2 over 3 to the 2nd

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  1. anonymous
    • one year ago
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    @phi

  2. phi
    • one year ago
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    \[ \left(\frac{2^5}{3^2} \right)^4\]

  3. anonymous
    • one year ago
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    thatscorrect

  4. phi
    • one year ago
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    so you have "something" multiplied by itself 4 times

  5. anonymous
    • one year ago
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    ok

  6. phi
    • one year ago
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    what is multiplied by itself 4 times?

  7. anonymous
    • one year ago
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    the 5?

  8. anonymous
    • one year ago
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    or 2

  9. phi
    • one year ago
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    everything in the parens is treated as one thing, that is multiplied by itself 4 times.

  10. anonymous
    • one year ago
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    so the 2 5 3 and 2 are multiplied by 4?

  11. phi
    • one year ago
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    you make a 4 copies of \(\left(\frac{2^5}{3^2} \right) \) and multiply them together.

  12. anonymous
    • one year ago
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    woah

  13. anonymous
    • one year ago
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    thats alot

  14. phi
    • one year ago
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    do you know how to multiply fractions? top times top and bottom times bottom

  15. anonymous
    • one year ago
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    a little bit im pretty bad when it comes to fractions

  16. phi
    • one year ago
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    care to figure out the top ? (it's 2^5 times itself 4 times)

  17. anonymous
    • one year ago
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    mmmmh

  18. anonymous
    • one year ago
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    idk

  19. phi
    • one year ago
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    do you know what 2^5 means ? 2*2*2*2*2 right ?

  20. anonymous
    • one year ago
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    ohh woops

  21. anonymous
    • one year ago
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    ya so we do that

  22. anonymous
    • one year ago
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    4 times?

  23. phi
    • one year ago
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    yes

  24. anonymous
    • one year ago
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    ok 1 sec

  25. phi
    • one year ago
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    just "glue them together" and count the 2's

  26. anonymous
    • one year ago
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    2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2 20? xD

  27. phi
    • one year ago
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    yes 2^20 now the bottom

  28. anonymous
    • one year ago
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    ok

  29. anonymous
    • one year ago
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    3x3x3x3

  30. anonymous
    • one year ago
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    right?

  31. phi
    • one year ago
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    the bottom is 3^2 times itself 4 times

  32. anonymous
    • one year ago
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    oh i need 2 more sorry

  33. anonymous
    • one year ago
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    wait

  34. anonymous
    • one year ago
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    isnt that correct or would it be 3x2x3x2x3x2x3x2

  35. phi
    • one year ago
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    just 3 times itself

  36. anonymous
    • one year ago
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    3x3x3x3x3x3

  37. phi
    • one year ago
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    3^2 is 3*3 we multiply 3*3 by itself 4 times yes 3^8

  38. phi
    • one year ago
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    so the answer is 2^20/ 3^8

  39. anonymous
    • one year ago
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    ohh

  40. anonymous
    • one year ago
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    thats wasnt that bad

  41. phi
    • one year ago
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    practice helps

  42. anonymous
    • one year ago
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    yup ty very much

  43. anonymous
    • one year ago
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    ok 1 more and we will be done :DD

  44. phi
    • one year ago
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    ok, I'll get there. but try to do some of the work.

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