Answer:
[tex]\frac{5^{-5}}{5^8} = 5^{-13}[/tex]
Step-by-step explanation:
Given
[tex]\frac{5^{-5}}{5^8}[/tex]
Required
Express as [tex]5^n[/tex]
We have:
[tex]\frac{5^{-5}}{5^8}[/tex]
Apply second law of indices
[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]
So, we have:
[tex]\frac{5^{-5}}{5^8} = 5^{-5-8}[/tex]
[tex]\frac{5^{-5}}{5^8} = 5^{-13}[/tex]
