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anonymous

  • one year ago

What is the value of the expression shown below? 3 over 5 to the power of 2 + 4 × 3 − 2

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  1. anonymous
    • one year ago
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    @DecentNabeel @Mertsj

  2. DecentNabeel
    • one year ago
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    2 + 4 × 3 − 2 2+12-2 14-2 =12 (3/5)^12 =

  3. anonymous
    • one year ago
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    the answer would be?

  4. anonymous
    • one year ago
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    12?

  5. DecentNabeel
    • one year ago
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    \[\left(\frac{3}{5}\right)^{12}=\frac{3^{12}}{5^{12}}\quad \left(\mathrm{Decimal:\quad }\:0.00218\right)\]

  6. anonymous
    • one year ago
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    12 9/25?

  7. DecentNabeel
    • one year ago
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    this is new qustion..

  8. anonymous
    • one year ago
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    i mean whats the answer to the question

  9. DecentNabeel
    • one year ago
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    12*9/25 .. you need answer for this question

  10. anonymous
    • one year ago
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    whats the answer to the first question

  11. DecentNabeel
    • one year ago
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    what is the question .. tell me again

  12. anonymous
    • one year ago
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    3 over 5 to the power of 2 + 4 × 3 − 2

  13. DecentNabeel
    • one year ago
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    first solve this one.. 2 + 4 × 3 − 2

  14. anonymous
    • one year ago
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    12

  15. DecentNabeel
    • one year ago
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    gud then 3/5 to the power of 12 then solve

  16. DecentNabeel
    • one year ago
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    mean.. 12^(3/5) ok

  17. anonymous
    • one year ago
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    9.6?

  18. anonymous
    • one year ago
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    whats the answer?

  19. DecentNabeel
    • one year ago
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    \[12^{\frac{3}{5}}=4.44129\] that is the answer

  20. anonymous
    • one year ago
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    actually no these are the choices.... 10 and 9 over 25 11 and 2 over 25 12 and 9 over 25 13 and 2 over 25

  21. anonymous
    • one year ago
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    I need the answer to the whole question.. i dont have time t6o solve it out.

  22. anonymous
    • one year ago
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    *to

  23. UsukiDoll
    • one year ago
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    Due to OpenStudy's Code of Conduct, we can't give out direct answers. We can only guide the user through the process of solving their question.

  24. anonymous
    • one year ago
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    ik but solving it is making me even more confused ik the rules

  25. UsukiDoll
    • one year ago
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    But I got to ask... where did you guys get the exponent 12 from when the original question is 3 over 5 to the power of 2 + 4 × 3 − 2 ???

  26. UsukiDoll
    • one year ago
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    wouldn't the problem be something like this? \[(\frac{3}{5})^2+4 \times 3 - 2\]

  27. UsukiDoll
    • one year ago
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    I do apologize the latex isn't working correctly... |dw:1436833508036:dw| is that your question @KAKES1967

  28. anonymous
    • one year ago
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    yes

  29. UsukiDoll
    • one year ago
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    ok so this is order of operations. We need to do parenthesis, exponent, multiply, divide, add, and subtract so we do have parenthesis and exponent to deal with first.

  30. UsukiDoll
    • one year ago
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    so that exponent number 2 means that we write the fraction 3/5 twice |dw:1436833605156:dw| try solve that part first

  31. anonymous
    • one year ago
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    so 1.2

  32. UsukiDoll
    • one year ago
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    umm it's best to work with fractions...decimals can be a pain sometimes

  33. UsukiDoll
    • one year ago
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    what's 3 x 3 what's 5 x 5

  34. UsukiDoll
    • one year ago
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    |dw:1436833698945:dw| we're trying to solve this part first because we have paraenthesis and exponents

  35. anonymous
    • one year ago
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    9 and 25

  36. UsukiDoll
    • one year ago
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    cool! |dw:1436833730367:dw|

  37. UsukiDoll
    • one year ago
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    so we got PE out of the way... MDAS is still lurking ... oh I see multiplication what's 4 x 3 ?

  38. anonymous
    • one year ago
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    9/25 plus 12-2

  39. anonymous
    • one year ago
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    right?

  40. UsukiDoll
    • one year ago
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    yes |dw:1436833808152:dw| since there is no division, we skip it. Now we do addition. Note: we solve these problems from left to right (left that out by accident sorry ^_^)

  41. anonymous
    • one year ago
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    2.36?

  42. UsukiDoll
    • one year ago
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    so .. ouch we have to do 9/25 +12 but the denominators aren't the same so we need to do the LCD/GCF well your attempt was close... let's go over this part together.

  43. anonymous
    • one year ago
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    oh i thought it was 2 sorry

  44. anonymous
    • one year ago
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    12.36

  45. UsukiDoll
    • one year ago
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    so we need to multiply 25/25 to the 12. |dw:1436833931892:dw| WOW! that's correct for that part.

  46. UsukiDoll
    • one year ago
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    but for the sake of simplicity since we need a mixed fraction at the end, let's keep this in fraction form. |dw:1436833972612:dw|

  47. UsukiDoll
    • one year ago
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    now we need to do the GCF all over again and it's just 25 so we multiply 25/25 for that 2 |dw:1436834026409:dw|

  48. UsukiDoll
    • one year ago
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    so what's 2 x 25?

  49. anonymous
    • one year ago
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    50

  50. UsukiDoll
    • one year ago
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    mhm! |dw:1436834081913:dw| now 309-50

  51. anonymous
    • one year ago
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    259

  52. UsukiDoll
    • one year ago
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    yes so we have |dw:1436834124013:dw| so we have an improper fraction, we need a mix fraction since your choices want it in that format.

  53. UsukiDoll
    • one year ago
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    ok... we just need to use division like this |dw:1436834175546:dw|

  54. UsukiDoll
    • one year ago
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    so how many times can 25 go into 25 ? or in other words what's 25 divided by 25 25/25 = ?

  55. anonymous
    • one year ago
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    1

  56. UsukiDoll
    • one year ago
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    |dw:1436834232064:dw| yes and since 25 can't go into 9 we are done We just have to write this as a mixed fraction

  57. UsukiDoll
    • one year ago
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    |dw:1436834264657:dw|

  58. anonymous
    • one year ago
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    10 9/25

  59. UsukiDoll
    • one year ago
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    so the 10 on the top is written first followed by the 9 on the numerator and 25 on the denominator we should have 10 9/25 yes!

  60. anonymous
    • one year ago
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    XD thank you soooo much. Your just wonderful thanks for helping me understand. (:

  61. UsukiDoll
    • one year ago
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    you're welcome :)

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