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anonymous

  • one year ago

What is the value of the expression 4/2^-2? A. ½ B. 1 C. 8 D. 16

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  1. anonymous
    • one year ago
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    @Studyhelp_00002

  2. anonymous
    • one year ago
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    @GracieBugg

  3. anonymous
    • one year ago
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    @Kitten_is_back

  4. anonymous
    • one year ago
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    @amberosales

  5. anonymous
    • one year ago
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    plz help me

  6. tkhunny
    • one year ago
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    Show your work. Stop tagging the world.

  7. anonymous
    • one year ago
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    im trying im stuck

  8. phi
    • one year ago
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    do you know how to "flip" \[ \frac{1}{2^{-2} }\] ?

  9. anonymous
    • one year ago
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    yes

  10. tkhunny
    • one year ago
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    See, you could have shown that.

  11. anonymous
    • one year ago
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    i did

  12. anonymous
    • one year ago
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    it is 4/2^-2

  13. phi
    • one year ago
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    what do you get when you flip \[ \frac{1}{2^{-2}} \]?

  14. tkhunny
    • one year ago
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    No, you wrote the problem statement. You did not show that you knew how to "flip" negative exponents. You could have shown that.

  15. anonymous
    • one year ago
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    ok it is

  16. anonymous
    • one year ago
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    i for got show me plz

  17. phi
    • one year ago
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    the "rule" is flip the fraction (bottom becomes top and vice versa) *and* change the exponent by multiplying the exponent by -1

  18. phi
    • one year ago
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    can you do that for \[ \frac{1}{2^{-2}} \]

  19. phi
    • one year ago
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    here is an example \[ \frac{1}{5^3}= \frac{5^{-3}}{1}\]

  20. anonymous
    • one year ago
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    ok

  21. phi
    • one year ago
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    do it in two steps: 1) first, can you write the "flipped" version of 1/2^(-2) ?

  22. anonymous
    • one year ago
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    k

  23. anonymous
    • one year ago
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    yes

  24. phi
    • one year ago
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    can you post step 1) flip 1/2^(-2)

  25. anonymous
    • one year ago
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    \[\frac{ 1 }{ 2^3 }\]

  26. anonymous
    • one year ago
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    -3

  27. phi
    • one year ago
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    start with \[ \frac{1}{2^{-2}} \] now make the bottom (the \( 2^{-2}\) ) the top and make the top (the 1) the new bottom what do you get ?

  28. anonymous
    • one year ago
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    it is the same

  29. phi
    • one year ago
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    if you had \[ \frac{a}{b}\] the flipped version is \[ \frac{b}{a} \]

  30. anonymous
    • one year ago
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    im sorry somthing so simple is hard for me

  31. phi
    • one year ago
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    ok, practice with this x/y what is that flipped?

  32. anonymous
    • one year ago
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    x/y-y?

  33. phi
    • one year ago
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    x/y flipped becomes y/x try c/d what is that flipped?

  34. anonymous
    • one year ago
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    oooo d/c

  35. phi
    • one year ago
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    yes. now try 3/2 flipped is ?

  36. anonymous
    • one year ago
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    2/3

  37. phi
    • one year ago
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    yes now this one (4*2)/(5*6) flip that

  38. anonymous
    • one year ago
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    2*4/6*5

  39. anonymous
    • one year ago
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    1/(2-^2)

  40. phi
    • one year ago
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    try 1/(2*3) flip that

  41. anonymous
    • one year ago
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    humm 1/(3*2)

  42. phi
    • one year ago
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    no, (2*3)/1 just like a/b becomes b/a c/d becomes d/c x/y becomes y/x (2*3)/(4*5) becomes (4*5)/(2*3) do you see the pattern ?

  43. anonymous
    • one year ago
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    yes

  44. phi
    • one year ago
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    now try 1/(2*3)

  45. anonymous
    • one year ago
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    sorry

  46. anonymous
    • one year ago
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    ok (2*3)/1

  47. phi
    • one year ago
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    yes. now use that same idea on 1/(2^-2) flip this one

  48. anonymous
    • one year ago
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    (2_^2)/1

  49. phi
    • one year ago
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    (2^-2)/1

  50. anonymous
    • one year ago
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    o woops

  51. phi
    • one year ago
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    now when we flip things they change 1/2 is different from 2/1 but if we have 1/(2^-2) and flip it to 2^-2/1 then *change the exponent* so that we have 2^2/1 it turns out that \[ \frac{1}{2^{-2}} = \frac{2^2}{1} \]

  52. phi
    • one year ago
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    so we do two things: flip and *change the exponent*

  53. anonymous
    • one year ago
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    ok

  54. anonymous
    • one year ago
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    humm

  55. phi
    • one year ago
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    now your problem is \[ 4 \cdot \frac{1}{2^{-2}} \] and 1/2^-2 is 2^2, so it is now \[ 4 \cdot 2^2 \]

  56. phi
    • one year ago
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    2^2 means 2*2 4* 2^2 means 4*2*2

  57. anonymous
    • one year ago
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    ok nvm i got it u r just beating around the boosh sorry i figured it out thx thow

  58. phi
    • one year ago
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    you should get 16

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