Question

tính giá trị biểu thức ( tính nhanh nếu có thể )

c, \(1\cdot2\cdot3....9-1\cdot2\cdot3....8-1\cdot2\cdot3....7\cdot8^2\)

d,\(\frac{\left(3\cdot4\cdot2^{16}\right)^2}{11\cdot2^{13}\cdot4^{11}-16^9}\)

Answer 1

\(c,1.2.3...9-1.2.3...8-1.2.3...7.8^2\)

\(=1.2.3...8\left(9-1-8\right)\)

\(=1.2.3...8.0\)

\(=0\)

\(d,\frac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)

\(=\frac{3^2.4^2.2^{32}}{11.2^{13}.\left(2^2\right)^{11}-\left(2^4\right)^9}\)

\(=\frac{3^2.2^4.2^{32}}{11.2^{13}.2^{22}-2^{36}}\)

\(=\frac{3^2.2^{36}}{11.2^{35}-2^{36}}\)

\(=\frac{3^2.2^{36}}{2^{35}\left(11-2\right)}\)

\(=\frac{3^2.2^{36}}{2^{35}.9}\)

\(=\frac{3^2.2^{36}}{2^{35}.3^2}\)

\(=2\)