Question

[Hang Le]

Kết quả phép tính ......................
(Nhập kết quả dưới dạng số thập phân gọn nhất)

Answer 1

[Sakura HeartPrincess]

\(\dfrac{2^{12^{ }}.3^5-4^6.9^2}{\left(2^2.3\right)^6+8^4.3^5}-\dfrac{5^{10}.7^3-25^5.49^2}{\left(125.7\right)^3+5^9.14^3}\)

= \(\dfrac{2^{12}.3^5-2^{12}.3^4}{2^{12}.3^6+2^{12}.3^5}-\dfrac{5^{10}.7^3-5^{10}.7^4}{5^9.7^3+5^9.14^3}\)

= \(\dfrac{2^{12}\left(3^5-3^4\right)}{2^{12}\left(3^6+3^5\right)}-\dfrac{5^{10}\left(7^3-7^4\right)}{5^9\left(7^3+14^3\right)}\)

=\(\dfrac{3^5-3^4}{3^6+3^5}-\dfrac{5\left(7^3-7^4\right)}{7^3+14^3}\)

=\(\dfrac{243-81}{729+243}-\dfrac{5\left(343-2401\right)}{343+2744}\)

=\(\dfrac{162}{972}-\dfrac{5\left(-2058\right)}{3087}\)

=\(\dfrac{1}{6}-\dfrac{-10}{3}\)

= \(\dfrac{1}{6}+\dfrac{20}{6}\)

=\(\dfrac{21}{6}=3,5\)