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Math Help - Too big for TI-84

  1. #1
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    Too big for TI-84

    I need to calculate e to the 408 and my calculator reads overflow after e to the 200. How do you solve. The text answer is 1.65 X 10 to the 177!!
    But I need to be able to solve a similar problem on a test.
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  2. #2
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    Quote Originally Posted by dclivefree View Post
    I need to calculate e to the 408 and my calculator reads overflow after e to the 200. How do you solve. The text answer is 1.65 X 10 to the 177!!
    But I need to be able to solve a similar problem on a test.
    e^408 = (e^102)^4.

    e^102 = 1.9862648 X 10^44.

    Therefore e^408 = (1.9862648 X 10^44)^4 = (1.9862648)^4 X 10^176.

    (1.9862648)^4 = 15.56498 = 1.556 X 10.

    Therefore e^408 = 1.556 X 10 X 10^176 = 1.56 X 10^177 (to two significant figures).

    p.s. Obviously I have a slight disagreement with the text answer.
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