Answer:
1/3^32
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
a^-b = 1/a^b
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Your expression simplifies as follows:
[tex](3^4)^{-8}= 3^{4(-8)}=3^{-32}=\boxed{\dfrac{1}{3^{32}}}[/tex]
