The phrase 'significantly differently' is correct and usable in written English.
You can use it when you want to emphasize that two things are very different from each other. For example, "He raises his eyebrows significantly differently depending on his mood."
As Clemens et al. (2009) argued, local attributes may affect people so greatly that observably identical workers can perform significantly differently in different countries of work.
The front page will look significantly differently than inside pages, and different sections will have slightly different styles.
"We have become more aware that some assets can be treated significantly differently in the books of different banks.
Little evidence yet exists that state and federal courts process class certification significantly differently.
Participating farmers responded significantly differently after the four years of experimentation compared to a control group of local farmers.
One German study has shown that officials may be subconsciously swayed – with judges scoring bouts significantly differently when the colours worn by athletes were digitally reversed on videos.
No studies were found on the application of such techniques to identify damage generated by shear, which causes a cracking pattern significantly differently from flexural cracking.
The findings of this study indicated that the subjects performed significantly differently in response to Palm and WinCE menus displayed in the first and second layers.
However, the beam solutions behave significantly differently than predicted by the thermal analogy unless locally space averaged energy and power are considered.
In spite of its similarity to the similarly designed cell-penetrating peptide Pep-1, MPG behaves significantly differently from the conformational point of view.
