IPA: /nɒnˈsɛnsɪkli/
KK: /nɑnˈsɛnsɪkli/
In a way that does not make sense or is silly.
The story was told nonsensically, leaving everyone confused.
Nonsensically → It is formed from "non-" (meaning not) and "sense" (from Latin "sensus", meaning perception or feeling) and the suffix "-ically" (meaning in a manner). The word "nonsensically" means in a manner that lacks sense or meaning.
Think of 'not' ('non-') combined with 'sense' — this helps you remember that 'nonsensically' describes something that is done in a way that lacks meaning.