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Math Help - exponent question

  1. #1
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    exponent question

    A little rusty on my exponent rules. Please help...thanks

    (2^a)^(b-1) = ?

    (2^a)(2^(ab-1)) = ?
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  2. #2
    A riddle wrapped in an enigma
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    Quote Originally Posted by noles2188 View Post
    A little rusty on my exponent rules. Please help...thanks

    (2^a)^(b-1) = ?

    (2^a)(2^(ab-1)) = ?
    For the first one, recall that:

    (x^a)^b=x^{ab}

    That would yield (2^a)^{b-1}=2^{a(b-1)}=2^{ab-a}


    For the second one, recall that:

    (x^a)(x^b)=x^{a+b}

    That would yield (2^a)(2^{ab-1})=2^{a+ab-1}=2^{a(1+b)-1}
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  3. #3
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    noles... are you studying for mac1140 with dr.kutter exam 2 tomorrow?
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  4. #4
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    no, i'm just doing some homework, and there were exponents, which i haven't done for a while
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