BUILT-IN MATHEMATICA SYMBOL
PowerExpand
PowerExpand[expr]
expands all powers of products and powers.
PowerExpand[expr, {x1, x2, ...}]
expands only with respect to the variables 
.
- PowerExpand converts
to 
, whatever the form of 
is.
- PowerExpand also converts
to 
, whatever the form of 
is.
- The transformations made by PowerExpand are correct in general only if
is an integer or 
and 
are positive real numbers.
- PowerExpand converts Log[a^b] to bLog[a].
- PowerExpand in general disregards all issues of branches of multivalued functions, so may not preserve the numerical values of expressions.
- PowerExpand automatically threads over lists, as well as equations, inequalities and logic functions.
- PowerExpand has the option Assumptions, specifying assumptions to use.
- The default setting for the Assumptions option is Automatic, corresponding to a maximal set of assumptions.
- You can specify default assumptions for PowerExpand using Assuming.
Expand a square root, implicitly assuming positive real values:
| Out[1]= |  |
Without PowerExpand, no expansion is done:
| Out[2]= |  |
The expansion is only correct for positive real variables:
| Out[3]= |  |
This gives a completely correct result:
| Out[4]= |  |
This gives a result correct under the specified assumptions:
| Out[5]= |  |
New in 2 | Last modified in 6
