Does anyone understand how the exponent in this equation was restructured?

[sturdy jewel]

it is wrong indeed

in second step

[night oak]

the second step confused me since - ( 1 / a -1 ) doesn't equal (1 / 1-a)

[sturdy jewel]

should be (cp2/dap1)^(-(1/1-a))

however this is correct

[sturdy jewel]

ye

[night oak]

It's a Utility Function, maybe I should change the tag to university level

[sturdy jewel]

this is right

the second step is wrong

[night oak]

yea there has to be a miscalculation before that

[sturdy jewel]

yes

(cp2/dap1)^(-(1/1-a))
=> (dap2/cp2)^(1/(1-a)

[night oak]

the step before that I had to solve x2 from this equation

This is how I tried to solve it

but I don’t know how I would get to the real solution

[sturdy jewel]

hmm.. that looks like divisible by

i ain't familiar with

[night oak]

GPT says the exponent of the numerator would be 1 and the exponent of the denominator is a-1

so you would divide both and get 1 / a - 1 which would be the exponent of the fraction

that’s how we’d get to step 1 if it’s right, doesn’t make sense to me