Answer
$(\frac{2m}{13m^{2}}$$)^{2}$
Work Step by Step
Given : $\frac{4m^{2}}{169m^{4}}$
Now, $4=2^{2}$ and $169=13^{2}$ and $m^{4}=$ $(m^{2})^{2}$
Thus, the given expression can be written as :
$\frac{2^{2}m^{2}}{13^{2}m^{4}}=$ $\frac{(2m)^{2}}{(13m^{2})^{2}}$
(since $a^{m}b^{m}=$ $(ab)^{m}$)
This becomes : $\frac{(2m)^{2}}{(13m^{2})^{2}}=$ $(\frac{2m}{13m^{2}}$$)^{2}$
