Answer
See below.
Work Step by Step
We know that $\log_a x^n=n\cdot \log_a x$, hence $(\log_2 2^1)^3=1^3=1$, whereas $3\log_2 2^1=3\cdot1=3$ and $3\ne1$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.