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anonymous

  • one year ago

(2^8 * 5^-5* 19^0)^-12 * (5^-2/ 2^3) * 2^28 Write your answer in simplified form. Show all of your steps I think it's 1 because there's a 0 exponent in there, anyone help?

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  1. anonymous
    • one year ago
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    My brain is seriously melting at the sight of this problem right now.

  2. Vocaloid
    • one year ago
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    not quite. we know that 19^0 = 1 but that's it, we still need to find out what everything else is equal to

  3. Vocaloid
    • one year ago
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    |dw:1444420270923:dw|

  4. Vocaloid
    • one year ago
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    lets start by using our exponent rules to simplify this part:

  5. Vocaloid
    • one year ago
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    |dw:1444420380950:dw|

  6. Vocaloid
    • one year ago
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    lets cross out 19^0 to make it a bit cleaner

  7. Vocaloid
    • one year ago
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    |dw:1444420411732:dw|

  8. Vocaloid
    • one year ago
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    now, when we have exponents outside the parentheses, we multiply the exponents together and keep the same bases

  9. anonymous
    • one year ago
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    so 8*3?

  10. anonymous
    • one year ago
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    ((28)(5−5)(190))−12( 5−2 23 )(228) = 367341984631964827648 25 (Decimal: 14693679385278593024)

  11. Vocaloid
    • one year ago
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    |dw:1444420448562:dw| with me so far?

  12. anonymous
    • one year ago
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    I think XD

  13. Vocaloid
    • one year ago
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    notice how I multiplied these exponents|dw:1444420596004:dw| together?

  14. Vocaloid
    • one year ago
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    8*-12 = -96 -5*(-12) = 60

  15. anonymous
    • one year ago
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    Ohhhhh now I get it, excuse my dumbness XD

  16. Vocaloid
    • one year ago
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    nah, don't apologize, you're doing fine

  17. Vocaloid
    • one year ago
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    now, since we have 2^(-96) multiplied by 2^28, we can add those exponents together

  18. anonymous
    • one year ago
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    -68?

  19. Vocaloid
    • one year ago
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    |dw:1444420739885:dw| right

  20. Vocaloid
    • one year ago
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    |dw:1444420757485:dw|

  21. Vocaloid
    • one year ago
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    next, we have 5^60 times 5^-2, we can add those exponents together to get 5^58

  22. Vocaloid
    • one year ago
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    |dw:1444420830436:dw|

  23. anonymous
    • one year ago
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    subtract -68 and -3 right?

  24. Vocaloid
    • one year ago
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    last step is to simplify the 2's since we have 2^(-68) divided by 2^(-3), we can subtract those two exponents to get 2^(-71)

  25. Vocaloid
    • one year ago
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    yes

  26. Vocaloid
    • one year ago
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    actually, it should be -65, sorry

  27. anonymous
    • one year ago
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    You went up not down xD

  28. Vocaloid
    • one year ago
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    -68-(-3) = -65

  29. Vocaloid
    • one year ago
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    so that gives us|dw:1444421021693:dw|

  30. Vocaloid
    • one year ago
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    then all we have left to do is rewrite 2^(-65) in the denominator

  31. anonymous
    • one year ago
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    1/2^65?

  32. Vocaloid
    • one year ago
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    |dw:1444421065946:dw|

  33. anonymous
    • one year ago
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    Ohhh so that's the final answer?

  34. anonymous
    • one year ago
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    P.s. when I type a reply and it says I'm still typin' I'm not -_-

  35. anonymous
    • one year ago
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    Hellooo?

  36. Vocaloid
    • one year ago
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    yes.

  37. anonymous
    • one year ago
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    And now I shall try to explain the way you did XD

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