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Math Help - Big exponent problem.... (for probabilities...)

  1. #1
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    Exclamation Big exponent problem.... (for probabilities...)

    What is the answer for the following equation:

    (8E18 x 4E12) ^ 1500

    I can't find a calculator that goes that high....

    Please help me !

    Thank you in advance for your help and time !!

    Matt
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by mgoy_11 View Post
    What is the answer for the following equation:

    (8E18 x 4E12) ^ 1500

    I can't find a calculator that goes that high....

    Please help me !

    Thank you in advance for your help and time !!

    Matt
    ( 8 \times 10^{18} \cdot 4 \times 10^{12} ) ^{1500}

    = (32 \times 10^{30} )^{1500}

    = (32)^{1500} \cdot (10^{30} )^{1500}

    = (2^5)^{1500} \cdot 10^{45000}

    = 2^{7500} \cdot 10^{45000}

    You can do better than this, but as there are no factors of 10 in 2 to any power all you would be doing is writing out numbers. I don't think there is any way to write the answer in a simpler form.

    -Dan
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  3. #3
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by mgoy_11 View Post
    What is the answer for the following equation:

    (8E18 x 4E12) ^ 1500

    I can't find a calculator that goes that high....

    Please help me !

    Thank you in advance for your help and time !!

    Matt
    wow, what are you trying to work out here?

    \left( 8 \times 10^{18} \times 4 \times 10^{12} \right)^{1500} = \left( 32 \times 10^{30} \right)^{1500} = 32^{1500} \times 10^{45000}

    now, working out 32^{1500} is rough.

    maybe something here will be relevant

    (i have another idea, but i'm not even sure if it's worth me running it down)

    (EDIT: Yeah, it's not worth me running it down...)

    (EDIT 2: Beaten by topsquark by a few seconds!)
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  4. #4
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by Jhevon View Post
    maybe something here will be relevant
    I doubt it as the op didn't say anything about needing a last digit. (Which would be easily seen to be 0 in this case, anyway.)

    -Dan
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  5. #5
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    Thank you very much everyone !!!!!

    I should of thought of the answer.....

    So I guess If 32^1500 = 5.308 E 2257

    Then 5.308 E 2257 x 1E 45000 = 5.308 E 47257

    Right ?

    In case you're wondering a friend of mine asked me to do the math for the probabilities of a person being born.....

    Thanks again for your time and your brainpower !
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  6. #6
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by mgoy_11 View Post
    Thank you very much everyone !!!!!

    I should of thought of the answer.....

    So I guess If 32^1500 = 5.308 E 2257

    Then 5.308 E 2257 x 1E 45000 = 5.308 E 47257

    Right ?

    In case you're wondering a friend of mine asked me to do the math for the probabilities of a person being born.....

    Thanks again for your time and your brainpower !
    How did you get 32^1500 = 5.308 E 2257 ?

    if that's true, then yes, you're right
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  7. #7
    Grand Panjandrum
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    Quote Originally Posted by mgoy_11 View Post
    In case you're wondering a friend of mine asked me to do the math for the probabilities of a person being born.....

    Thanks again for your time and your brainpower !
    I think with any normal interpretation of "person" and "being born" the probability in question is 1.

    RonL
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  8. #8
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    Quote Originally Posted by Jhevon View Post
    How did you get 32^1500 = 5.308 E 2257 ?

    if that's true, then yes, you're right
    I got it with Windows Scientific calculator !

    Thank you very much to all !
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