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Math Help - Exponents question

  1. #1
    Newbie
    Joined
    Jan 2009
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    1

    Exponents question

    Hi a got a question related to exponents;

    Giving m= 4^x + 4^x +4^x + 4^x, find the value of m^2

    Since the bases are the same, should I added them all together? and add the exponents? e.g.
    16^4x = m? or should I factored out?
    Any detailed help will be highly appreciated
    Thanks for your time and patient.
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  2. #2
    MHF Contributor
    Joined
    Sep 2008
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    West Malaysia
    Posts
    1,261

    Re :

    Quote Originally Posted by carlosla View Post
    Hi a got a question related to exponents;

    Giving m= 4^x + 4^x +4^x + 4^x, find the value of m^2

    Since the bases are the same, should I added them all together? and add the exponents? e.g.
    16^4x = m? or should I factored out?
    Any detailed help will be highly appreciated
    Thanks for your time and patient.

    maybe you can try this

    4^x+4^x+4^x+4^x=m

    let 4^x=y

     y+y+y+y=m

    4y=m

    m^2=16y^2

    m^2=16(4^{2x})

    m^2=2^{4+4x}
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