Could someone please explain the best way to reduce these expressions?

4x^2

-----

2x^9

-2x-8

-----

x^2+2x-8

And how to solve this

x^2 = 14x

Thanks

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- Jul 29th 2006, 02:52 PMChesterReducing expressions
Could someone please explain the best way to reduce these expressions?

4x^2

-----

2x^9

-2x-8

-----

x^2+2x-8

And how to solve this

x^2 = 14x

Thanks - Jul 29th 2006, 03:46 PMgalactus
Could someone please explain the best way to reduce these expressions?

4x^2

-----

2x^9

When you divide powers you subtract the exponents. Of course, 4/2=2.

2-9=-7. So you have: $\displaystyle 2x^{-7}\;\ or\;\ \frac{2}{x^{7}}$

-2x-8

-----

x^2+2x-8

Always check to see if anything factors.

$\displaystyle \frac{-2(x+4)}{(x-2)(x+4)}$

Now, cancel what will cancel.

And how to solve this

x^2 = 14x

There isn't much to this.

Divide through by x:

x=14 or 0. - Jul 29th 2006, 04:02 PMChesterThanks
Thank you very much for taking the time to explain.

Chester :)