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How do twice Working Precision in square operation

• To: mathgroup at smc.vnet.net
• Subject: [mg86002] How do twice Working Precision in square operation
• From: Artur <grafix at csl.pl>
• Date: Sat, 1 Mar 2008 04:42:54 -0500 (EST)
• References: <200802291122.GAA19237@smc.vnet.net>
• Reply-to: grafix at csl.pl

Who know how  forced  double numerical precision in operation ^2 or 
triple in ^3
e.g. we have number with precision 300 digits after comma and we do 
square of this number

N[-23.83242089169940112293636352304345516242356370829658528533245578869781207629749826968513219545485106785646817025052324254382671446440221122018213525849182937524917564915820784936033688847601879751439448736954164351572578669610243156800163244111408628195484090841094436992490050778`263.90219946983575^2,600]

I want received WorkingPrecision->600

How do that on Mathematica ?

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