Part 1:
Show the expanded form and simplification of . Explain in your own words how you can simplify without having to write the expanded form.

Part 2:

Create your own fraction with like bases, coefficients, and show its simplification.

x^4
----- Expanded Form.
x^2

This is equal to x^2, as when dividing powers you subtract the power of the denumerator from that of the numerator. 4 - 2 = 2, therefore the power of the resultant is 2. This is how you can know the power of the simplified form without writing the expanded.

Part 2:
x^7
---- = x^4
x^3

Does this make sense,

Question

Part 1:
Show the expanded form and simplification of . Explain in your own words how you can simplify  without having to write the expanded form.

Part 2:

Create your own fraction with like bases, coefficients, and show its simplification. 

x^4
----- Expanded Form.
x^2

This is equal to x^2, as when dividing powers you subtract the power of the denumerator from that of the numerator. 4 - 2 = 2, therefore the power of the resultant is 2. This is how you can know the power of the simplified form without writing the expanded.

Part 2:
x^7
---- = x^4
x^3

Does this make sense,

anonymous · Answer

Is it correct?

directrix · Answer

I'm trying to understand what the problem is. That is, what is the question? I don't know what is being expanded.

anonymous · Answer

This is the question:

Part 1:
Show the expanded form and simplification of . Explain in your own words how you can simplify  without having to write the expanded form.

Part 2:

Create your own fraction with like bases, coefficients, and show its simplification.

anonymous · Answer

x^4/x^2

anonymous · Answer

Sorry about that...

directrix · Answer

No reason to be sorry.

Show the expanded form and simplification of  --> ** what comes after the "of" **?  Is it x^4/x^2 or something else.?

anonymous · Answer

yeah, its x^4/x^2

directrix · Answer

Part One

x^4/x^2 = [ x * x * x * x ] / [ x * x]

=  x/x  *  x/x   * x * x

= 1 * 1 * x * x

= x^2

directrix · Answer

Is "coefficients" supposed to be "exponents?"

anonymous · Answer

Ohh wow, thanks for breaking it down like that! :) Does my wording sound good though?

anonymous · Answer

In the question?

directrix · Answer

Yes

anonymous · Answer

Its given as coeficients

anonymous · Answer

So no its not suppose to be exponents.

anonymous · Answer

So, does the wording I have sound good, or should I change it?

anonymous · Answer

and is part 2 okay?

directrix · Answer

This is equal to x^2.   When dividing exponential expressions with the same base,  you subtract the power of the denumerator from that of the numerator. 4 - 2 = 2. The result is 2. This is how you can know the power of the simplified form without writing the expanded.

anonymous · Answer

Ohh thanks so much!! :)

directrix · Answer

Where did you do part 2? What is your fraction?

Create your own fraction with like bases, coefficients, and show its simplification.

anonymous · Answer

I have either 
x^7
---- = x^4
x^3

or

x^9
---- = x^5
x^4

directrix · Answer

You don't have any coefficients. :)

directrix · Answer

4 x^9
----       =     2 x^5
 2 x^4

directrix · Answer

4 and 2 are coefficients.

anonymous · Answer

Ohhh wow, I can't believe I missed that one... lol :) Thanks so much for all of your help! I suck at math, so Its cool to have someone to break it down and explain it.  :D

directrix · Answer

Okay. It seems to be that you are doing good. Don't say you suck at math. You might believe it. :)

anonymous · Answer

Yeah, thanks again! lol :)