Steps Involved:
 
- Open SharePoint 2010 Management Shell by going to Start | All Programs | SharePoint | Microsoft SharePoint 2010 Products | SharePoint 2010 Management Shell (Run as Administrator). 
- Run the following script.
Powershell Script:
|  ## Delete the specified file version using SharePoint 2010 web service in powershell
 $uri="http://serverName:10736/sites/ECT/_vti_bin/Versions.asmx?wsdl"
 ## $fileName is the string that contains the site-relative URL of the file
 [String]$fileName="Shared Documents/test.docx"
 ## $fileVersion is the string that contains the version that has to be deleted
 [String]$fileVersion="2"
 
 
 ## Web Service Reference - http://Site/_vti_bin/Versions.asmx
 $versionsWebServiceReference = New-WebServiceProxy -Uri $uri -UseDefaultCredential
 [System.Xml.XmlNode]$xmlNode=$versionsWebServiceReference.DeleteVersion($fileName,$fileVersion)
 
 ## Creates an Versions.xml file in the D:\ which contains all the versions for the specified file
 $output = New-Object -TypeName System.IO.StreamWriter -ArgumentList "D:\Versions.xml", $false
 $output.WriteLine("<?xml version=""1.0"" encoding=""utf-8"" ?>")
 $output.WriteLine($xmlNode.OuterXml)
 $output.WriteLine()
 $output.Dispose()
 | 
Versions.xml:
Specified file version 2.0 is deleted successfully.
![Versions.jpg]()