Answer:
[tex]n=-2[/tex]
Step-by-step explanation:
[tex]\frac{5^{10}}{5^8}=(\frac{1}{5})^n[/tex]
Use the law of exponents.
[tex]5^{10-8}=\left(\frac{1}{5}\right)^n[/tex]
1/5 can be written with a base of 5.
[tex]5^{10-8}=\left(5^{-1}\right)^n[/tex]
Cancel the base 5 on both sides.
[tex]10-8=-1\times \:n[/tex]
[tex]2=-n[/tex]
Multiply both sides with -1.
[tex]n=-2[/tex]
