Expert: Paul Klarreich - 10/11/2008

Question
Dear Mr Klarreich,
 The question is Y^(3/4) = 2x+2.  I would like to solve for Y (Leave Y by itself on the left hand side without (^ 3/4).
How do I solve?  Please help

thank you very much

sincerely,
Mitch V

Answer
Questioner:   Mitch
Category:  Calculus
Private:  No
 
Subject:  calculus
Question:  Dear Mr Klarreich,
The question is Y^(3/4) = 2x+2.  I would like to solve for Y (Leave Y by itself on the left hand side without (^ 3/4).
How do I solve?  Please help

thank you very much

sincerely,
Mitch V
....................................
Hi, Mitch,

All you need do is raise each side to the  4/3-power:

Y^(3/4) = 2x+2

[Y^(3/4)]^(4/3) = [2x+2]^(4/3)

Y = [2x+2]^(4/3)

That's it.