Step 1
Given;
[tex](5^{-2})^4[/tex]
Step 2
Combine the powers as follows
[tex](a^b)^c=a^{b\times c}=a^{bc}[/tex][tex](5^{-2})^4=5^{-2\times4}=5^{-8}[/tex]
Use the negative index rule
[tex]\begin{gathered} a^{-b}=\frac{1}{a^b} \\ 5^{-8}=\frac{1}{5^8} \end{gathered}[/tex]
Answer; Option B
[tex]\frac{1}{5^8}[/tex]
