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The syntax for the cache operator in Google searches is designed to allow users to retrieve a cached version of a webpage from Google's servers. The correct syntax is `cache:URL [string]`. Here, "URL" represents the specific web address of the page you want to view in its cached form, and "[string]" can be an optional search term that refines the content displayed within the cached page, enhancing your search.

This format effectively instructs Google to pull the stored information from its cache for the given URL, making it a useful tool for accessing content that may have changed or become unavailable on the original website. The structured format—indicating that the URL comes before any additional search strings—ensures clarity in the request made to Google's search engine.

The other provided options do not properly reflect the required syntax for the cache operator, as they either misplace the elements or do not follow the correct structure, making them invalid for use in Google searches. Only the structure as outlined in the correct answer will yield expected and functional results when searching for cached webpages.