Power simplification

[Paul Royik]

Is there any way I can rewrite

x^2y^4 to (xy^2)^2 or  x^3(x+y)^6 to (x(x+y)^2)^3

, i.e. combine base?

Exponents are guaranteed to be integers.

Thank you.

[Francesco Bonazzi]

In [1]: var('x y', positive=True)
Out[1]: (x, y)

In [2]: ex = x**2 * y**4

In [3]: w = Wild('w')

In [4]: mt = ex.match(w**2)

In [5]: mt
Out[5]:
⎧      2⎫
⎨w: x⋅y ⎬
⎩       ⎭

In [6]: Pow(mt[w], 2, evaluate=False)
Out[6]:
      2
⎛   2⎞
⎝x⋅y ⎠

[Paul Royik]

Smart solution. Thank you.

[Aaron Meurer]

I guess we need a reverse of powdenest (like powcollect or something).

Aaron Meurer

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