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PowerExpand
PowerExpand[
expr
] expands all powers of products and powers.
Example: PowerExpand[Sqrt[x y]] .
PowerExpand converts (
a
b
)^
c to a
^
c
b
^
c, whatever the form of c is.
PowerExpand also converts (
a
^
b
)^
c to a
^(
b
c
), 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[
a
^
b
] to b
Log[
a
].
See the Mathematica book: Section 1.4.5, Section 3.3.1.
See also: Expand, Distribute, ComplexExpand, FullSimplify.
Further Examples
Mathematica does not expand powers into products since the "law of powers" is not valid for all possible values of a and b.
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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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THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT. SEE THE DOCUMENTATION CENTER FOR THE LATEST INFORMATION. | | | |
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