Answer:
[tex]3^64^{11}[/tex]
Step-by-step explanation:
It appears you're trying to simplify ...
[tex](3^{-2}4^{-5}5^0)^{-3}\cdot\dfrac{4^{-4}}{3^3}\cdot 3^3[/tex]
The final factor cancels the denominator of the fraction, so we have ...
[tex]3^{(-2)(-3)}4^{(-5)(-3)-4}=3^64^{11}[/tex]
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The applicable rules of exponents are ...
(ab)^c = (a^c)(b^c)
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)