Could somebody explain this to me please?

[tex]\dfrac{5^{10}}{5^{12}}=5^{10-12}=\huge\boxed{5^{-2}}\\\\\\a^m:a^n=a^{m-n}[/tex]
Answer:
your are correct
Step-by-step explanation:
i don't fell like geting brainlyest so the person who answer this question first can have it