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Thread: Parentheses In the World of Math

  1. #1
    Super Member harpazo's Avatar
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    Parentheses In the World of Math

    I know there is a difference between (-2)^4 and -2^4.

    (-2)^4 = (-2)(-2)(-2)(-2) = 16

    -2^4 = -(2)^4 = -(16) = -16

    Can I apply this to variables as well?

    Say we have (-x)^4. This becomes (-x)(-x)(-x)(-x) = x^4.

    Yes?

    How about -x^4?

    Can I say that -x^4 = -(x)^4 = -x^4?

    Yes?
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  2. #2
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    Re: Parentheses In the World of Math

    Quote Originally Posted by harpazo View Post
    I know there is a difference between (-2)^4 and -2^4.

    (-2)^4 = (-2)(-2)(-2)(-2) = 16

    -2^4 = -(2)^4 = -(16) = -16

    Can I apply this to variables as well?

    Say we have (-x)^4. This becomes (-x)(-x)(-x)(-x) = x^4.

    Yes? Yes! (-x)^5 though will be -x^5, basically because of the odd (5) number of "negatives"

    How about -x^4?

    Can I say that -x^4 = -(x)^4 = -x^4? Of course! Maybe you mean -(x^4), although the brackets are redundant.

    Yes?
    see red
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  3. #3
    Super Member harpazo's Avatar
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    Re: Parentheses In the World of Math

    Quote Originally Posted by Debsta View Post
    see red
    Interesting.
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    Re: Parentheses In the World of Math

    Quote Originally Posted by harpazo View Post
    Interesting.
    I am totally unimpressed with the 'red' reply.
    What you need to understand is the fundamental idea of additive inverse.
    I am not kidding you got to learn the concept of the additive inverse.
    First the additive inverse is symbolized using the minus sign. $-G$ is the additive inverse of $G$. So $G+(-G)=0$.
    So bear with me. $-G^2$ is the additive inverse of $G$ squared. But so is $-(G^2)$.
    However, $(-G)^2=(-G)(-G)=G^2$ that is simply $G^2$. Do you see the difference, do you understand the difference?

    If you do understand, then $(-3)^2=9\ne-(3)^2=-9$ is no mystery to you?
    If you are not sure of the above, please, please say so. Tell us why. Help us clear away the confusion.
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  5. #5
    Super Member harpazo's Avatar
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    Re: Parentheses In the World of Math

    Thank you everyone.
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    Re: Parentheses In the World of Math

    Quote Originally Posted by Plato View Post
    I am totally unimpressed with the 'red' reply.
    Why's that?
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  7. #7
    Super Member harpazo's Avatar
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    Re: Parentheses In the World of Math

    Let's move on. I did. Currently revisiting algebra 1 as I work my way to college algebra.

    My Plan:

    Review algebra 1
    Review Algebra 2
    Begin with College Algebra
    Calculus 1
    Calculus 2
    Calculus 3
    And so on....
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  8. #8
    Forum Admin topsquark's Avatar
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    Re: Parentheses In the World of Math

    Quote Originally Posted by harpazo View Post
    Let's move on. I did. Currently revisiting algebra 1 as I work my way to college algebra.

    My Plan:

    Review algebra 1
    Review Algebra 2
    Begin with College Algebra
    Calculus 1
    Calculus 2
    Calculus 3
    And so on....
    Sound like a plan!

    -Dan
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  9. #9
    Super Member harpazo's Avatar
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    Re: Parentheses In the World of Math

    I started with algebra 1. Lots of memories.
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