1. ## :) help please :)

The Bolded Represents an Exponent.
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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

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Thank you so much <33!

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

Thanks so much again.

2. Originally Posted by omgitzbella
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

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

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

$s = \sqrt{x^2-18x+81}=\sqrt{(x-9)^2}=| x-9 |$

3. Originally Posted by omgitzbella
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.

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