This appears to be a nice forum. I just registered since I have a question...
I have a CES aggregator-function $$ f(c,q) = (r c^{a} + b q^{a})^{1/a}. $$ It is postulated that it can be rewritten as $$ f(c,q) = c \left[ r + b \left( \frac{q}{c} \right)^{a} \right]^{\frac{1}{a}}. $$
I don’t see how, and neither does Maple. Can anyone help? I’m confused and I don’t know what I have missed. I bet that there is insufficient information.
Thanks for the edit; I will write the problem in the correct language now.
Hint: $c = (c^a) ^{\frac {1}{a}}$ if $c > 0$.