Perform the following calculations involving measurements and round the results so they have the correct number of significant figures and proper units.

Answer:
[tex]3.896\times10^{100}\operatorname{cm}[/tex]Explanation: We have to simplify the expression and write the final answer in scientific notation:
[tex]\frac{(12.64\operatorname{cm}\times37.975\operatorname{cm})}{(2.242\operatorname{cm}-1.01\operatorname{cm})}[/tex]Simplification:
[tex]\frac{(12.64\operatorname{cm}\times37.975\operatorname{cm})}{(2.242\operatorname{cm}-1.01\operatorname{cm})}=\frac{480.004\operatorname{cm}}{1.232cm}=389.6[/tex]In scientific notation:
[tex]3.896\times10^{100}\operatorname{cm}[/tex]