Some years ago, my second year computer science students
had to face the computation below in a final year exam:
$$\frac{2^{30}}{2^{20}}$$
What happened next might surprise you. Press to literally lift
the veil (but... what sort of clickbait is this?)
(all comments, in parentheses and italics, are mine)
$2^{30}-2^{20}=2^{10}$ (answer given by three six different
students [a whiff of plagiarism?], but I can see where they were
coming from; in any case the result is undeniably correct)
$2^{30}-2^{20}=x$, $2^{10}=x$ (refinement on the
theme above, with a more algebraic flavour)
$\frac{2^{30}}{2^{20}}=2^{18}$ (also correct, to a factor of
$~256$)
$2^{30} \div 2^{20}=2^{1.5}$ (wait, the previous result has
now been challenged...)
$\frac{2^{20}}{2^{30}}=2^{50}$ (intriguing... from
the above one would have inferred $2^{-18}$ or
$2^{-1.5}$...)
Some more exotic answers:
$\frac{2^{32}}{2^{20}}=12$ (the deeper reasons for this
result are clear, but they
are also vertigo-inducing)
$2^{12}\times 2^{10}=2^{120}$ (an
astronomical finding, somehow connected to
$2^{1.5}$ above)
$2^{30}=\frac{32}{2^{20}}$ (judging from the previous computation, this is
a gross underestimation)