"He Went the Other Way" or "He Went to the Other Way"
“He went the other way” or “He went to the other way”
Here, a preposition is not necessary with the word way in this situation. Way is a general direction or method, not a specific location or destination. Therefore, you do not need the preposition to in this sentence.
"She Believes in Latest Technology" or "She Believes in the Latest Technology"
The correct choice would be “She believes in the latest technology”
When referring to a particular technology, you would use the article the.
When referring to technology in general, you would not use an article or the adjective latest in the sentence.
This sentence is referring to a particular technology,