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Math Help - :) help please :)

  1. #1
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    Question :) help please :)

    The Bolded Represents an Exponent.
    -----------------------------------------------------------

    1) The exponent of 2 is equal to 3 or more then the exponent 4. Find the exponents if the resulting numbers are equal.

    2) If the are of a rectangle is 68amb3n and the length is 4a2b2, what is the width?

    3)The formula for the area of a square is A = s2. Find the possible algebraic expression for the s if A = x2 - 18x + 81

    -----------------------------------------------------------------------------

    Thank you so much <33!

    (And it would be greatly appreciated if someone could tell me how to do exponents?)

    Thanks so much again.
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  2. #2
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    Quote Originally Posted by omgitzbella View Post
    The Bolded Represents an Exponent.
    -----------------------------------------------------------

    1) The exponent of 2 is equal to 3 or more then the exponent 4. Find the exponents if the resulting numbers are equal.

    2) If the are of a rectangle is 68amb3n and the length is 4a2b2, what is the width?

    3)The formula for the area of a square is A = s2. Find the possible algebraic expression for the s if A = x2 - 18x + 81

    -----------------------------------------------------------------------------

    Thank you so much <33!

    (And it would be greatly appreciated if someone could tell me how to do exponents?)

    Thanks so much again.
    Hello,

    last question first: To write equations or other mathematical expressions use Latex. Have a look here: http://www.mathhelpforum.com/math-help/735-post1.html

    I can help you only with #3.

    if A = s^2 then s = \sqrt{A}

    Plug in the given term for A into the last equation:

    s = \sqrt{x^2-18x+81}=\sqrt{(x-9)^2}=| x-9 |
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  3. #3
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    Quote Originally Posted by omgitzbella View Post
    The Bolded Represents an Exponent.
    -----------------------------------------------------------

    2) If the are of a rectangle is 68amb3n and the length is 4a2b2, what is the width?

    ...
    Maybe I know what you mean here:

    The area of a rectangle is calculated by

    a = w \cdot l~\implies~w = \frac al. Thus the width of your rectangle is:

    w = \frac{68 a^m \cdot b^{3n}}{4a^2 \cdot b^2} = 17a^{m-2} \cdot b^{3n-2}


    By the way: Click on the formula or equation and you'll get a separate window which contains the text which generates the formula or equation.
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  4. #4
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    Hello, omgitzbella!

    1) The exponent of 2 is equal to 3 or more then the exponent 4.
    Find the exponents if the resulting numbers are equal.

    We have: . 2^a \:=\:4^b
    . . and we are told: . a \:=\:b+3

    And so we have: . 2^{b+3} \:=\:4^b\quad\Rightarrow\quad 2^{b+3} \:=\:\left(2^2\right)^b\quad\Rightarrow\quad2^{b+3  } \:=\:2^{2b}

    Hence: . b+3 \:=\:2b\quad\Rightarrow\quad b = 3


    Therefore: . 2^{ {\color{red}6}} \:=\:4^{{\color{red}3}}

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