Question

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

b) \(\frac{135.269-133}{134.269+135}\)

Đề bài là tính hợp lí giúp mk nha !

Answer 1

a)

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

\(=\frac{3^2.4^2.\left(2^{16}\right)^2}{11.2^{13}.\left(2^2\right)^{11}-\left(2^4\right)^9}\)

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

\(=\frac{3^2.2^4.2^{32}}{11.2^{35}-2^{36}}\)

\(=\frac{9.2.2^{35}}{11.2^{35}-2.2^{35}}\)

\(=\frac{18.2^{35}}{2^{35}.\left(11-2\right)}\)

\(=\frac{18.2^{35}}{2^{35}.9}\)

\(=\frac{18}{9}\)

\(=2\)