Question

[Hoàng Thanh Thủy]

a,        \(\frac{45^3.20^4.18^2}{180^5}\)

b,         \(\frac{11.3^{22}.3^7-9^{15}}{\left(2.3^{14}\right)^2}\)

c,        \(\left(125^3.7^5-175^5:5\right):2016^{2017}\)

d,         \(16.64.8^2:\left(4^3.2^5.16\right)\)

e,\(\frac{5.4^{15}.9^9-4.3^{20}.8^9}{5.2^9.6^{19}-7.2^9.27^6}\)

Đề bài: Tính bằng cách hợp lí.

Answer 1

[Trương Nhật Linh]

\(\frac{45^3.20^4.18^2}{180^5}=\frac{\left(3^2.5\right)^3.\left(2^2x5\right)^4.\left(2x3^2\right)^2}{\left(2^2.3^2.5\right)^5}\) 

                           \(=\frac{3^6.5^3.2^8.5^4.2^2.3^4}{2^{10}.3^{10}.5^5}\)\(=\frac{3^{10}.5^7.2^{10}}{2^{10}.3^{10}.5^5}=\frac{5^7}{5^5}=5^2\)