Answer: OPTION A
[tex]\begin{gathered} Wearegivenanexpression,5^{-8}\cdot5^4 \\ =5^{-8}\cdot5^4 \\ \text{ According to the first law of indicies} \\ x^a\cdot x^b=x^{a\text{ + b}} \\ \text{Let x = 5, a = -8 and b = 4} \\ 5^{-8}\cdot5^4=5^{-8\text{ + 4}} \\ =5^{-4} \\ =\text{ }\frac{1}{5^4} \\ \text{The answer is OPTION A} \end{gathered}[/tex]