] expands all powers of products and powers.
Example: PowerExpand[Sqrt[x y]].
PowerExpand converts (
c to a
c, whatever the form of c is.
PowerExpand also converts (
c to a
), whatever the form of c is.
The transformations made by PowerExpand are correct in general only if c is an integer or a and b are positive real numbers.
PowerExpand converts Log[
] to b
See the Mathematica book: Section 1.4.5, Section 3.3.1.
See also: Expand, Distribute, ComplexExpand, FullSimplify.
Mathematica does not expand powers into products since the "law of powers" is not valid for all possible values of a and b.
PowerExpand does such expansions with no guarantee that the resulting expression is mathematically equivalent to the original expression for all values of the variables.
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