Question

[Trần Thị Ngà]

Rút gọn:

\(\frac{2^5.3^6+6^5.11}{12^5-6^5.2^2}\)

Answer 1

[Despacito]

\(\frac{2^5.3^6+6^5.11}{12^5-6^5.2^2}\)

\(=\frac{2^5.3^6+2^5.3^5.11}{2^2.3-2^5.3^5.2^2}\)

\(=\frac{2^5.3^5.\left(3+11\right)}{2^2.3\left(1-2^5.3^4\right)}\)

\(=\frac{2^3.3^4.14}{1-32.81}\)

\(=\frac{2^4.3^4.7}{-2591}\)

Answer 2

[๖ۣۜFunny-Ngốkツ]

\(\frac{2^5\cdot3^6+6^5\cdot11}{12^5-6^5.2^2}\)

\(=\frac{6^5\cdot3+6^5\cdot11}{6^5\cdot2^5-6^5\cdot2^2}\)

\(=\frac{6^5\cdot\left(3+11\right)}{6^5\cdot\left(2^5-2^2\right)}\)

\(=\frac{14}{32-4}\)

\(=\frac{14}{28}=\frac{1}{2}\)