Jonathan1 This will be no easy task Correct. "no" can be used as a determiner in a noun phrase. Jonathan1 This will be not easy task Not correct.
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Jonathan1This will be no easy taskCorrect. "no" can be used as a determiner in a noun phrase.
Jonathan1This will be not easy taskNot correct. If you want the negation on the verb instead of on the noun, it's This will not be an easy task. However, the turn of phrase you're asking about is usually said with the ne