Math

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How do you express 234^789 in scientific notation?

Its to big to computer for my graphing calculator

Thank You

  • Math -

    234^789 = 10^x

    789 log 234 = x log 10 = x

    789 * 2.37 = x
    x = 10^1869

  • Math -

    let x = 234^789
    log x = log 234^789
    = 789 log 234 = 1869

    then x = 10^1869

    so 234^789 = 1.0 x 10^1869

  • Math -

    or really
    x = 10^1869.311311....

    .311311311311..... is a ratio of rational numbers which you could figure out if you choose, but that is probably beyond what the problem asks for.

  • Math -

    ...ratio of whole numbers I mean.

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