According to the given data we have the following expression:
(m^4)^6/m^24
In order to simplify the expression above we would make the following:
[tex]\text{First, }\mathrm{Apply\: exponent\: rule}\colon\quad \mleft(a^b\mright)^c=a^{bc},\text{ so }\mleft(m^4\mright)^6=m^{4\cdot\: 6}[/tex][tex]\text{Therefore, }\mathrm{Multiply\: the\: numbers\colon}\: 4\cdot\: 6=24,\text{ so }m^{4\cdot\: 6}=m^{\mleft\{24\mright\}}[/tex][tex]\text{Therefore, }=\frac{m^{24}}{m^{24}}=1[/tex]