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PowerExpand

Usage

PowerExpand[expr] 展开所有幂和乘积的幂。


Notes

• 例如: PowerExpand[Sqrt[x y]]LongRightArrow .
• 无论c的形式是什么,PowerExpand转换(a b)^ca^c b^c
• 无论c的形式是什么,PowerExpand转换(a^b)^ca^(b c)
• 由PowerExpand进行的变换通常仅在c是一个整数或 ab是正实数时才是正确的。
PowerExpand转换 Log[a^b]b Log[a]
• 参见 Mathematica 全书: 1.4.5 and 节 3.3.1.
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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