negative exponents!

[whiz]

Help pls! I just cant simplify this!

(X^-1 - y^-1) / (x ^1/3 - y^1/3)

Somebody help pls!

 

[Deleted member 4993]

Help pls! I just cant simplify this!

(X^-1 - y^-1) / (x ^1/3 - y^1/3)

Somebody help pls!

start with

x^(-1) = 1/x

y^(-1) = 1/y

What are your thoughts?

Please share your work with us ...even if you know it is wrong

If you are stuck at the beginning tell us and we'll start with the definitions.

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[Ishuda]

Help pls! I just cant simplify this!

(X^-1 - y^-1) / (x ^1/3 - y^1/3)

Somebody help pls!

In addition to the hints given above, you might make the substitutions u³ = x and v³ = y for possible further simplifications depending on just what you think the teacher would want.

 

[pka]

I just cant simplify this!
(x^-1 - y^-1) / (x ^1/3 - y^1/3)

What is simplified is actually completely complicated to others.

I personally like the form: \(\displaystyle \dfrac{{y - x}}{{ xy\sqrt[3]{y}-xy\sqrt[3]{x} }}\). What can be simpler?

Here is a question which is in no way meant to be argumentative.
Why are teachers so quick to have students use u-substitution?
I find that rather than helping students, it actually discourages the recolonization of pattern.
Mathematics is the science of pattern.