This is documentation for Mathematica 5, which was
based on an earlier version of the Wolfram Language.
View current documentation (Version 11.1)

Documentation / Mathematica / Built-in Functions / Algebraic Computation / Formula Manipulation /

PowerExpand

FilledSmallSquare PowerExpand[expr] expands all powers of products and powers.

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

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

FilledSmallSquare PowerExpand 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.

FilledSmallSquare PowerExpand converts Log[a^b] to b Log[a].

FilledSmallSquare See Section 1.4.5 and Section 3.3.1.

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

FilledSmallSquare New in Version 2; modified in 3.

Further Examples