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Exponent confusion.

  1. Feb 21, 2015 #1
    My TI-89 calculator rearranged $$ 2^{2m+1}-1$$ to $$ 2\times 4^m - 1 $$
    I can't for life of me work out how it did it. Is anybody able to put me out of my misery?

    Thank you in advance!

    Ben
     
  2. jcsd
  3. Feb 21, 2015 #2

    Mentallic

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    Homework Helper

    It used two exponent rules:

    [tex]\left(a^b\right)^c=a^{bc}[/tex]

    [tex]a^{b+c}=a^ba^c[/tex]

    So start by using the second to get rid of that pesky +1 in [itex]2^{2m+1}[/itex]
     
  4. Feb 21, 2015 #3
    Oh god! Of course. I must not be feeling well.

    Thanks.
     
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