Show the expanded form and simplification of x^6/x^2. Explain in your own words how you can simplify x^6 /x ^2 without having to write the expanded form.

I know the simplified form is x^3 and the expanded form of the situation is x*x*x*x*x*x/x*x , but how would I put this altogether?
@jim_thompson5910

Question

Show the expanded form and simplification of x^6/x^2. Explain in your own words how you can simplify x^6 /x ^2 without having to write the expanded form.

I know the simplified form is x^3 and the expanded form of the situation is x*x*x*x*x*x/x*x , but how would I put this altogether?
@jim_thompson5910

jim_thompson5910 · Answer

you got the expanded form down perfectly

but the answer is NOT x^3

jim_thompson5910 · Answer

the expanded form is this (which is what you got)

|dw:1369346910525:dw|

jim_thompson5910 · Answer

then you cancel common terms

|dw:1369346952635:dw|

jim_thompson5910 · Answer

|dw:1369346977002:dw|

jim_thompson5910 · Answer

you are left with x*x*x*x which shortens to x^4

jim_thompson5910 · Answer

so that's why x^6 divided by x^2 = x^4

anonymous · Answer

Ohhh! Okay, thanks :)

jim_thompson5910 · Answer

yw