Question 241768
First, reduce {{{100/200}}} to get {{{1/2}}}. So {{{(100m^(100))/(200^(200))=(m^(100))/(2m^(200))}}}



Now to divide {{{(m^(100))/(m^(200))}}}, simply subtract the exponents: {{{m^(100-200)=m^(-100)=1/m^(100)}}}



So altogether, {{{(100m^(100))/(200^(200))=1/(2m^(100))}}}