Sqrt[z]^a == z^(a/2)

Cell[BoxData[RowBox[List[SuperscriptBox[RowBox[List["(", SqrtBox["z"], ")"]], "a"], "\[Equal]", SuperscriptBox["z", RowBox[List["a", "/", "2"]]]]]]]

<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <msup> <msqrt> <mi> z </mi> </msqrt> <mi> a </mi> </msup> <mo> &#10869; </mo> <msup> <mi> z </mi> <mrow> <mi> a </mi> <mo> / </mo> <mn> 2 </mn> </mrow> </msup> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <power /> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <ci> a </ci> </apply> <apply> <power /> <ci> z </ci> <apply> <times /> <ci> a </ci> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", SuperscriptBox[SqrtBox["z_"], "a_"], "]"]], "\[RuleDelayed]", SuperscriptBox["z", RowBox[List["a", "/", "2"]]]]]]]

2001-10-29