# equivalent values

Started by Oct 05 2001 03:50 PM

,
3 replies to this topic

###
#1
Members - Reputation: **852**

Posted 05 October 2001 - 03:50 PM

I find myself having to find alternate representations of different types of terms, basically fractional and exponential representations, to solve certain problems. I can''t for the life of me remember what equals what.
For example I know that 1 / x^4 = x^-4 and 3x^-4 = 3 / x^4
Here''s the ones I''m havin trouble with, I need the fractional/exponential representation for each. I know that I might actually list both representations.
aX^n =
aX^-n =
a / bX^n =
a / bX^-n =
-a / bX^n =
-a / bX^-n =
X^1/2 = sqrt(X) ?
X^-a/b =
a / X^b/c =
I know thats a lot, so if anyone has even just a few examples that would work in any case then that might be better. Thanks in advance to anyone who can help.
------------
- outRider -

###
#2
Members - Reputation: **546**

Posted 05 October 2001 - 05:03 PM

All you need to remember is that a negative exponent means you invert the fraction. ie:

x

or

1/x

Also, the denominator of an exponent is the same as the order of the root of the number, for example:

x

x

x

x

Hope this helps!

codeka.com - Just click it.

x

^{-n}= 1/x^{n}or

1/x

^{-n}= x^{n}Also, the denominator of an exponent is the same as the order of the root of the number, for example:

x

^{1/2}= sqrt(x)x

^{1/3}= cuberoot(x)x

^{3/2}= sqrt(x^{3})x

^{-3/2}= sqrt(x^{-3}) = sqrt(1/x^{3})Hope this helps!

codeka.com - Just click it.