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anonymous

  • one year ago

Simplify (5)^-1/2 * (5x)^5/2 (5x)^-3/2 My final answer is x/sqrt5. Is this correct?

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  1. arindameducationusc
    • one year ago
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    all x terms right?

  2. anonymous
    • one year ago
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    \[5^{-1/2}*5x ^{5/2}(5x)^{-3/2}\]

  3. anonymous
    • one year ago
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    All in x terms.

  4. arindameducationusc
    • one year ago
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    firt add the power of x as 5 is common base 5/2-3/2 The total answer you will get x/sqrt(5)

  5. arindameducationusc
    • one year ago
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    Congrats! Correct answer!

  6. anonymous
    • one year ago
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    Thank you.

  7. arindameducationusc
    • one year ago
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    O wait.... the answer is sqrt(5)x

  8. anonymous
    • one year ago
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    oh. How do I get there?

  9. arindameducationusc
    • one year ago
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    |dw:1440210052094:dw|

  10. arindameducationusc
    • one year ago
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    initial one above, I think you got that... Now see what happens

  11. arindameducationusc
    • one year ago
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    |dw:1440210109054:dw|

  12. arindameducationusc
    • one year ago
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    as 5^-1/2 is sqrt(5) in the denominator (Law of exponents)

  13. arindameducationusc
    • one year ago
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    now sqrt5*sqrt5=5 so simplify

  14. arindameducationusc
    • one year ago
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    |dw:1440210183235:dw|

  15. anonymous
    • one year ago
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    I do it this way: \[5^{-1/2}*5x ^{5/2}(5x)^{-3/2}= 1/5*\sqrt{5x ^{5}}(1/\sqrt{5x ^{3}})\]

  16. arindameducationusc
    • one year ago
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    Got it?

  17. arindameducationusc
    • one year ago
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    My way is easier.........

  18. anonymous
    • one year ago
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    I do not understand how I get from |dw:1440210294618:dw|

  19. anonymous
    • one year ago
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    I then get this|dw:1440210396554:dw|

  20. anonymous
    • one year ago
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    Is that work correct? If so, then I get |dw:1440210462464:dw|

  21. arindameducationusc
    • one year ago
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    In simple words, when base is same in this case 5 is same, you can subtract the powers!

  22. anonymous
    • one year ago
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    So you are saying that I can go from |dw:1440210540555:dw|

  23. anonymous
    • one year ago
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    Your reasoning would be correct if the exponents were not negative? I do not understand how people can get to the answer 5sqrtx

  24. arindameducationusc
    • one year ago
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    No No!

  25. arindameducationusc
    • one year ago
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    -1/2 dont do that!

  26. arindameducationusc
    • one year ago
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    only 5/2-3/2 1/2 has no x term

  27. anonymous
    • one year ago
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    It is still incorrect though because it would be 5/2-(-3/2)=8/2

  28. arindameducationusc
    • one year ago
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    ofcourse!

  29. arindameducationusc
    • one year ago
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    its 5/2+(-3/2) =2/2=1

  30. arindameducationusc
    • one year ago
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    now are you understanding?

  31. anonymous
    • one year ago
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    oh.let me try this now.|dw:1440211147039:dw|

  32. anonymous
    • one year ago
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    I understand the logic. Where doe the 5^-1/2 go now?

  33. arindameducationusc
    • one year ago
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    its a constant so its just 1/sqrt(5) see, 5^1/2 = sqrt(5) so 5^-1/2=1/sqrt(5) Did you get the logic?

  34. anonymous
    • one year ago
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    Yes. So what is the final answer?

  35. arindameducationusc
    • one year ago
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    |dw:1440211406218:dw|

  36. arindameducationusc
    • one year ago
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    |dw:1440211455166:dw| so sqrt(5)x is the answer

  37. arindameducationusc
    • one year ago
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    If you liked my response, don't forget to medal and fan....

  38. arindameducationusc
    • one year ago
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    @TotallyNautical are you there?

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