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Math Help - Work Check

  1. #1
    Newbie
    Joined
    Nov 2007
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    9

    Work Check

    Hi again. I have a few problems that I would like looked over please. The double parentheses are the very large parentheses. My answers are annotated in bold numbers. Red numbers are exponents.

    Problem 1: (( 3 a2 b c-1))-2
    ....................9 a-1 b-1 c

    (3)-2 (a2)-2 (b)-2 (c-1)-2
    (9)-2 (a-1)-2 (b-1)-2 (c)-2

    -9 a4 b2 c2
    -81 a2 b2 c2

    9 c4
    a6b4

    _______

    Problem 2: x-2a +6 = x3(a-3)

    -2a + 6 = 3a 9

    -2a 3a = 9 6

    -1a = 3
    - 1... -1

    a = -3

    ________

    Problem 3: (The asterisk is the multiplication sign): y5a 6 * y2-a = ya+8

    5a-6 * 2-a = a+8

    5a 12-a = a+8

    5a a -12= a+8

    4a 12 = a+8

    4a + a = 8+12

    5a = 20
    5......5

    a = 4

    ________

    Problem 4:

    3 c5 d3
    6 c3 d5

    c2 d2
    ...2


    ________

    Problem 5:

    -24 a b3
    ..8 a b2

    -3b

    ________

    Problem 6:

    48 x2 y3
    16 x y z2

    3xy2
    ..z2



    Thank you.
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by slykksta View Post
    Hi again. I have a few problems that I would like looked over please. The double parentheses are the very large parentheses. My answers are annotated in bold numbers. Red numbers are exponents.

    Problem 1: (( 3 a2 b c-1))-2
    ....................9 a-1 b-1 c

    (3)-2 (a2)-2 (b)-2 (c-1)-2
    (9)-2 (a-1)-2 (b-1)-2 (c)-2

    -9 a4 b2 c2
    -81 a2 b2 c2

    9 c4
    a6b4

    _______
    Your last two lines are disturbing. You got the final answer correct, but that second to the last line is just garbage. Did you simply forget to put the negative signs on the exponents?

    Quote Originally Posted by slykksta View Post
    Problem 2: x-2a +6 = x3(a-3)

    -2a + 6 = 3a 9

    -2a 3a = 9 6

    -1a = 3
    - 1... -1

    a = -3

    ________
    This is good.
    Quote Originally Posted by slykksta View Post
    Problem 3: (The asterisk is the multiplication sign): y5a 6 * y2-a = ya+8

    5a-6 * 2-a = a+8

    ________
    y^{5a - 6}y^{2 - a} \neq y^{(5a - 6)(2 - a)}
    The addition of exponents rule, remember?
    a^na^m = a^{n + m}

    So
    y^{5a - 6}y^{2 - a} = y^{(5a - 6) + (2 - a)}

    Quote Originally Posted by slykksta View Post
    Problem 4:

    3 c5 d3
    6 c3 d5

    c2 d2
    ...2


    ________
    Great!

    Quote Originally Posted by slykksta View Post
    Problem 5:

    -24 a b3
    ..8 a b2

    -3b

    ________
    Great!

    Quote Originally Posted by slykksta View Post
    Problem 6:

    48 x2 y3
    16 x y z2

    3xy2
    ..z2

    Great!

    -Dan
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  3. #3
    Newbie
    Joined
    Nov 2007
    Posts
    9

    Too many notes :-(

    I had worked this out several times on paper and forgot to scratch this one out when I attempted to copy the right process for the first problem. Thanks for catching it.

    Thanks again for your help!!
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