Given:
The expression is:
[tex]\dfrac{60m^{-2}n^6}{5m^{-4}n^{-2}}[/tex]
To find:
The equivalent expression.
Solution:
We have,
[tex]\dfrac{60m^{-2}n^6}{5m^{-4}n^{-2}}[/tex]
It can be written as:
[tex]=\dfrac{60}{5}\times \dfrac{m^{-2}}{m^{-4}}\times \dfrac{n^6}{n^{-2}}[/tex]
[tex]=12\times m^{-2-(-4)}\times n^{6-(-2)}[/tex] [tex][\because \dfrac{a^m}{a^n}=a^{m-n}][/tex]
[tex]=12\times m^{-2+4}\times n^{6+2}[/tex]
[tex]=12m^{2}n^{8}[/tex]
Therefore, the correct option is A.
