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ratsubst helps:
ex1:(4*t+4)^20/(t+1)^20
ratsubst(z, t+1, %);
rootscontract((4*t+4)^(1/2)/(32*t+32)^(1/5)),
rootsconmode:all
=> (t^3+3*t^2+3*t+1)^(1/10)
instead of
(t+1)^(3/10)
There is no good reason for it to be expanding the wole
thing when there is a non-trivial gcd. At worst, it could
give the result in the form:
(4*t+4)^(3/10)/8^(1/5)
Then again, there doesn't seem to be any equivalent of
rootscontract for *integral* powers. How do you simplify
(4*t+4)^20/(t+1)^20
to 2^40
without using factor (which in general of course is much
more expensive than GCD)?
Logged In: NO
ratsubst helps:
ex1:(4*t+4)^20/(t+1)^20
ratsubst(z, t+1, %);
Logged In: YES
user_id=501686
Observed in 5.9.3cvs.
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