1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Something I should really know by now

  1. Nov 1, 2005 #1
    Idk if this is right
    [tex] e^{n^2} = (e^n)^n [/tex]
    Atleast I didn't think [tex] e^{n^2} = e^n*e^n [/tex]

    I had a test in calc 3 today, and that was part of a series. If it is equal (in the first equation) then I did it right, otherwise not. I came up with convergent, and someone else said they used an integral and got convergent, so...my answer hinges on that, which i should really know by now :)
    Last edited: Nov 1, 2005
  2. jcsd
  3. Nov 1, 2005 #2
    In general, [tex]a^{b^c} \ne a^{bc}[/tex].
    [tex](a^b)^c = a^{bc}[/tex]
    You should be able to show this yourself. Your first equality is correct.
  4. Nov 1, 2005 #3
    Well, when in doubt just substitute some numbers! I don't understand why people don't do this more often when in doubt.

    Like pretend e=2 and that n=3


    we all know [tex]2^9=512[/tex] and [tex]2^3=8[/tex]
    so it works

    Now, this is aside from the fact that this is a basic algebraic rule...
  5. Nov 1, 2005 #4
    yea, lol, i just typed in [tex]({e^n})^n[/tex] into my calculator and it spit back [tex]e^{n^2}[/tex]... it's a ti-89.

    sometimes you just forget the basic stuff...
  6. Nov 1, 2005 #5


    User Avatar
    Staff Emeritus
    Science Advisor

    In that case, it's good to have a calculator that is smarter than you are!
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?