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FilledSmallSquarePowerExpand[expr] expands all powers of products and powers.

FilledSmallSquare Example: PowerExpand[Sqrt[x y]] LongRightArrow.

FilledSmallSquarePowerExpand converts (a b)^c to a^c b^c, whatever the form of c is.

FilledSmallSquarePowerExpand also converts (a^b)^c to a^(b c), whatever the form of c is.

FilledSmallSquare The transformations made by PowerExpand are correct in general only if c is an integer or a and b are positive real numbers.

FilledSmallSquarePowerExpand converts Log[a^b] to b Log[a].

FilledSmallSquare See The Mathematica Book: Section 1.4.5 and Section 3.3.1.

FilledSmallSquare See also: Expand, Distribute, ComplexExpand, FullSimplify.

Further Examples