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Math Help - Urgent Question

  1. #1
    Newbie CyberClaw's Avatar
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    Urgent Question

    This may be a dumb question, but I'm really totally blanking on this D: So please no laughing :/

    Anyway

    In the following example:

    <br />
5 x 3 (2^3 + 1^3)^3   + 9<br />


    My question is simply about the "3" that is the exponent of the whole parenthesis group. I know that the exponents within the parenthesis are to be multiplied and not added as typical for exponents. So you multiply the exponents by 3 BUT do you multiply the base numbers by 3 or do you square it to that 3rd exponent???

    I'm so confused about that because I could of swore a teacher once told me to multiply the base number and not square it but I need to be 100% certain. Thanks and any help would be MUCH appreciated! Thanks!
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  2. #2
    MHF Contributor
    skeeter's Avatar
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    the order of operations takes precedence here ...

    (2^3 + 1^3)^3 = (8+1)^3 = 9^3
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  3. #3
    Newbie CyberClaw's Avatar
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    Ah, I see. Hmm Interesting thanks man.


    Also. Question here

    <br /> <br />
-3^3  <br /> <br />

    In that case WITHOUT the parenthesis around "-3" then does that mean the answer would be -27 or +27?


    I am pretty sure it would be positive because a square without parenthesis is negative then that times a negative is positive.

    Hmm is that correct?
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  4. #4
    Super Member Aryth's Avatar
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    In the case of the exponent 3 it keeps the sign, let's just use 3 as an example:

    -3^3 = -3*3*3 = -27

    (-3)^3 = -3*-3*-3 = -27

    All odd exponents keep the sign.
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  5. #5
    Newbie CyberClaw's Avatar
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    Ah...

    Great tool. All Odd exponents keep the sign. Very interesting.


    Thanks mate. Preciate it.
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