Question

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

Answer 1

*Bài làm:

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

= \(\frac{3.2^2.2^{16}}{11.2^{13}.\left(2^2\right)^{11}-\left(2^4\right)^9}\)

= \(\frac{3.2^{18}}{11.2^{13}.2^{22}-2^{36}}\)

= \(\frac{3.2^{18}}{11.2^{35}-2^{36}}\)

= \(\frac{3.2^{18}}{2^{18}.\left(11.2^{17}-2^{18}\right)}\)

= \(\frac{3}{\left(11.2^{17}-2^{18}\right)}\)

= \(\frac{3}{2^{17}.\left(11-2\right)}\)

= \(\frac{3}{2^{17}.9}\)

= \(\frac{1}{2^{17}.3}\)

*Vậy \(\frac{3.4.2^{16}}{11.2^{13}.4^{11}-16^9}\) = \(\frac{1}{2^{17}.3}\) .