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Bunuel
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\(\frac{3^{-8}}{3^{-9}} = 3^{-8-(-9)} = 3^{1} = 3\)
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Bunuel
\(\frac{9^{(-4)}}{27^{(-3)}} =\)

A. 1/3
B. 1
C. 3
D. 9
E. 27

\(\frac{9^{(-4)}}{27^{(-3)}}\)

\(= \frac{3^{(-8)}}{3^{(-9)}}\)

\(= 3^{( 9 - 8)}\)

\(= 3^1\)

Thus, answer must be (C) 3
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At a quick glance of the question you can easily eliminate A,D, & E because they are repeats from the question/too easily derived. That leaves B & C, inverting the fraction leaves exponents 9-8=1/base remains 3. 3^1. Answer=C.
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Bunuel
\(\frac{9^{(-4)}}{27^{(-3)}} =\)

A. 1/3
B. 1
C. 3
D. 9
E. 27


it is obviously 3. the answer is C.

(3^-8)/(3^-9)=3^1=3
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Bunuel
\(\frac{9^{(-4)}}{27^{(-3)}} =\)

A. 1/3
B. 1
C. 3
D. 9
E. 27

IMO C
the problem can be simplified as (27*27*27)/(9*9*9*9)= (3*3*3)/(9) = 3
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