Question

Thực hiện phép tính (Tính nhanh): \(\dfrac{40^{30}.3^{43}}{2^{57}.27^{15}}\)

Answer 1

\(\dfrac{40^{30}.3^{43}}{2^{57}.27^{15}}=\dfrac{\left(2^3.5\right)^{30}.3^{43}}{2^{57}.\left(3^3\right)^{15}}=\dfrac{2^{90}.5^{30}.3^{43}}{2^{57}.3^{45}}\)

\(=\dfrac{2^{33}.2^{57}.5^{30}.3^{43}}{2^{57}.3^{43}.3^2}=\dfrac{2^{33}.5^{30}}{3^2}=\dfrac{2^{33}.5^{30}}{9}\)

Answer 2

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