Answer :
We want to find the ratio of the IC 1101 galaxy diameter (Dic) to the milky Way diameter (Dmw), we can do it like this:
[tex]\frac{Dic}{\text{Dmw}}=\frac{5\times10^{22}}{1\times10^{21}}[/tex]And from the exponent property:
[tex]\frac{a^b}{a^c}=a^{b-c}[/tex]Then:
[tex]\frac{Dic}{\text{Dmw}}=\frac{5\times10^{22}}{1\times10^{21}}=5\times\frac{10^{22}}{10^{21}}=5\times10^{22-21}=5\times10^1=5\times10=50[/tex]Then, the diameter of the galaxy IC 1101 is 50 times the diameter of the milky way