\(\dfrac{200^{200}\cdot 40^{40}}{20^{20}\cdot400^{400}}=\)

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\(\dfrac{200^{200}\cdot 40^{40}}{20^{20}\cdot400^{400}}=\)

A. \(\dfrac{1}{2^{920}\cdot 5^{380}}\)

B. \(\dfrac{1}{2^{240}\cdot 5^{240}}\)

C. \(\dfrac{1}{2^{180}\cdot 5^{180}}\)

D. \(1\)

E. \(2^{180}\cdot 5^{180}\)

Answer: A

Source: Manhattan GMAT