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Isn't this the case already ? On my laptop (SageMath version 8.3.rc2), i have:
sage: var('x,n')
....: assume(x,'real')
....: assume(n,'integer',n>10)
....: g(x,n) = 2^(-n)*x^(-3*n)*3^n
(x, n)
sage: g
(x, n) |--> 3^n/(2^n*x^(3*n))
sage: c = 2^(-n)
sage: c
1/(2^n)
