07-08-2021, 08:28 AM

07-08-2021, 09:18 AM

If I make

simplify((u^(n+1)*v^(n+1))/(u*v^(n+3)))

I get a little bit further to u^(n+1)/(u*v^2), but it is not able to reduce the fraction to u^n/v^2. If I try to simplify the exptression u^(n+1)/(u*v^2) I get what you already got.

BTW: If I try expand(((u*v)^(n+1))/(u*v^(n+3))) with the TI89 Titanium I get (u*v)^n/v^(n+2).

If I do expand((u^(n+1)*v^(n+1))/(u*v^(n+3))) I get u^n/v^2.

So this is not perfect but better than the Prime.

Result with TI nspire CX II-T CAS:

expand(((u*v)^(n+1))/(u*v^(n+3))) --> (u*v)^n/(u*v^(n+3))

expand((u^(n+1)*v^(n+1))/(u*v^(n+3))) --> u^n/v^2

So it seams that the brackets in the numerator make things more difficult.

It's really strange because it is mathematically so simple.

Best

Raimund

simplify((u^(n+1)*v^(n+1))/(u*v^(n+3)))

I get a little bit further to u^(n+1)/(u*v^2), but it is not able to reduce the fraction to u^n/v^2. If I try to simplify the exptression u^(n+1)/(u*v^2) I get what you already got.

BTW: If I try expand(((u*v)^(n+1))/(u*v^(n+3))) with the TI89 Titanium I get (u*v)^n/v^(n+2).

If I do expand((u^(n+1)*v^(n+1))/(u*v^(n+3))) I get u^n/v^2.

So this is not perfect but better than the Prime.

Result with TI nspire CX II-T CAS:

expand(((u*v)^(n+1))/(u*v^(n+3))) --> (u*v)^n/(u*v^(n+3))

expand((u^(n+1)*v^(n+1))/(u*v^(n+3))) --> u^n/v^2

So it seams that the brackets in the numerator make things more difficult.

It's really strange because it is mathematically so simple.

Best

Raimund

07-08-2021, 09:38 AM

Try to use, in sequence, "texpand" and then "simplify"

Greetings, Robmio

Greetings, Robmio

07-08-2021, 09:58 AM

(07-08-2021 09:38 AM)robmio Wrote: [ -> ]Try to use, in sequence, "texpand" and then "simplify"

Greetings, Robmio

That's what I get:

[attachment=9625]

07-08-2021, 10:26 AM

Hi, you don't have to use "expand", but "texpand", followed by "simplify".

07-08-2021, 11:59 AM

CAS> simplify(pow2exp((u*v)^(n+1)/(u*v^(n+3)))) → u^n/v^2

CAS> simplify(pow2exp(u^(n+1)*v^(n+1)/(u*v^(n+3)))) → u^n/v^2

CAS> simplify(pow2exp(u^(n+1)*v^(n+1)/(u*v^(n+3)))) → u^n/v^2

07-08-2021, 12:18 PM

(07-08-2021 10:26 AM)robmio Wrote: [ -> ]Hi, you don't have to use "expand", but "texpand", followed by "simplify".

Thanks! Amazing, this works:

[attachment=9627]

07-08-2021, 12:23 PM

(07-08-2021 11:59 AM)Albert Chan Wrote: [ -> ]CAS> simplify(pow2exp((u*v)^(n+1)/(u*v^(n+3)))) → u^n/v^2

CAS> simplify(pow2exp(u^(n+1)*v^(n+1)/(u*v^(n+3)))) → u^n/v^2

This works great. Thanks!

[attachment=9628]

07-09-2021, 03:11 PM

My afx-2.0 calculator outputs:

simplify ((U×V)^(N+1)/((U×V)^(N+3)))

result is 1/(U^2×V^2)

Is this correct?

EDIT

My input mistake:

(u×v)^(n+1)/(u×v^(n+3))

Yes, Prime wins.

simplify ((U×V)^(N+1)/((U×V)^(N+3)))

result is 1/(U^2×V^2)

Is this correct?

EDIT

My input mistake:

(u×v)^(n+1)/(u×v^(n+3))

Yes, Prime wins.

07-09-2021, 07:07 PM

(07-09-2021 03:11 PM)Hlib Wrote: [ -> ]My afx-2.0 calculator outputs:

simplify ((U×V)^(N+1)/((U×V)^(N+3)))

result is 1/(U^2×V^2)

Is this correct?

The original expression is ((U*V)^(N+1))/(U*(V^(N+3)), my algebra FX 2.0 isn't able to simplify it.

07-09-2021, 07:27 PM

Yes, I have edit my mistake.