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MathNet 2019-part-06 — 184 problems (EN–VI) Question 130

Math Olympiad Vault · MathNet 2019-part-06 — 184 problems (EN–VI)

Question 130

Which of the expressions below is equivalent to the expression
$$
\frac{16 a^{-2} b^{-1} c^{-4}}{2^{-1} a^{-3} b^{-2} c^{-3}} \cdot \left(a^{0} + (a b)^{0}\right)^{-1}
$$
?
(A) $64 a b c^{-1}$
(B) $16 a b c^{-1}$
(C) $\frac{32}{a b c}$
(D) $32 a b c^{-1}$
(E) $16 a b c^{-7}$