=31446

đây bài giai nè chưa chăc dung đâu

99+43*9*9*9=

=99+43*9*9*9*1

=9*(99+43+1)

tiếp đó tự làm

\(A=\dfrac{2^{13}.9^5}{6^8.8^3}=\dfrac{2^{13}.3^{10}}{3^8.2^8.2^9}=\dfrac{2^{13}.3^{10}}{3^8.2^{17}}=\dfrac{3^2}{2^4}=\dfrac{9}{16}\)

\(\frac{1}{1.2.3}+\frac{1}{2.3.4}+...+\frac{1}{8.9.10}=\frac{1}{2}.\left(\frac{1}{1.2}-\frac{1}{2.3}\right)+\frac{1}{2}.\left(\frac{1}{2.3}-\frac{1}{3.4}\right)+...+\frac{1}{2}.\left(\frac{1}{8.9}-\frac{1}{9.10}\right)\)

\(=\frac{1}{2}.\left(\frac{1}{1.2}-\frac{1}{2.3}+\frac{1}{2.3}-\frac{1}{3.4}+...+\frac{1}{8.9}-\frac{1}{9.10}\right)\)

\(\frac{1}{2}.\left(\frac{1}{1.2}-\frac{1}{9.10}\right)=\frac{1}{2}.\frac{22}{45}=\frac{11}{45}\)

\(\dfrac{2^{15}.9^4}{6^6.8^3}=\dfrac{2^{15}.\left(3^2\right)^4}{2^6.3^6.\left(2^3\right)^3}=\dfrac{2^{15}.3^8}{2^6.3^6.2^9}=\dfrac{2^{15}.3^8}{2^{15}.3^6}=\dfrac{1.3^2}{1.1}=3^2=9\)

Chúc Bạn Học Tốt!!!

- Ta có:

\(\dfrac{2^{15}.9^4}{6^6.8^3}=\dfrac{2^{15}.\left(3^2\right)^4}{2^6.3^6.\left(2^3\right)^3}=\dfrac{2^{15}.3^8}{2^6.3^6.2^9}=\dfrac{2^{15}.3^8}{2^{15}.3^6}=3^2\)

- Vậy \(\dfrac{2^{15}.9^4}{6^6.8^3}=3^2\)

a) \(\dfrac{5\times6\times12}{6\times12\times7}=\dfrac{5}{7}\)

b) \(\dfrac{9\times8\times15}{15\times9\times16}=\dfrac{1}{2}\)

\(=999999999\)

= 999999999

tự tính

999999999

\(C=\dfrac{5\times2^{12}\times3^8-3^9\times2^{12}}{2^2\times2^{13}\times3^8+2\times2^{12}\times\left(-3^9\right)}=\dfrac{3^8\times2^{12}\times\left(5-3\right)}{2^{15}\times3^8+2^{13}\times\left(-3\right)^9}\)

\(=\dfrac{3^8\times2^{12}\times2}{2^{13}\times3^8\times\left(4-3\right)}=\dfrac{1}{1}=1\)

\(#PaooNqoccc\)