a, \(\dfrac{2\cdot8^4\cdot27^2+4\cdot6^9}{2^7\cdot6^7+2^7\cdot40\cdot9^4}\)

=\(\dfrac{2\cdot\left(2^3\right)^4\cdot\left(3^3\right)^2+2^2\cdot2^9\cdot3^9}{2^7\cdot2^7\cdot3^7+2^7\cdot2^3\cdot5\cdot\left(3^2\right)^4}\)

=\(\dfrac{2\cdot2^{12}\cdot3^6+2^{11}\cdot3^9}{2^{14}\cdot3^7+2^{10}\cdot5\cdot3^8}\)

=\(\dfrac{2^{11}\cdot3^6\cdot\left(2^2+3^3\right)}{2^{10}\cdot3^7\cdot\left(2^4+5\cdot3\right)}\)

=\(\dfrac{2^{11}\cdot3^6\cdot31}{2^{10}\cdot3^7\cdot31}\)

=\(\dfrac{2}{3}\)

b, \(\dfrac{\dfrac{8}{27}\cdot\dfrac{9}{16}\cdot\left(-1\right)}{\dfrac{4}{25}\cdot\dfrac{-125}{1728}}\)

=\(\dfrac{\dfrac{8\cdot9\cdot\left(-1\right)}{27\cdot16}}{\dfrac{4\cdot\left(-125\right)}{25\cdot1728}}\)

=\(\dfrac{\dfrac{-1}{6}}{\dfrac{-5}{432}}\)

=\(\dfrac{-1}{6}\cdot\dfrac{-432}{5}\)

=\(\dfrac{72}{5}\)

\(D=\frac{2\cdot8^9\cdot27+4\cdot6^9}{2^7\cdot6^7+2^7\cdot40\cdot9^4}\)

\(=\frac{2^{28}\cdot3^3+2^{11}\cdot3^9}{2^{14}\cdot3^7+2^{10}\cdot5\cdot3^8}\)

\(=\frac{3^3\cdot2^{11}\left(2^{17}+3^6\right)}{2^{10}\cdot3^7\left(2^4+5\cdot3\right)}\)

\(=\frac{2^{18}+2\cdot3^6}{6^4+3^5}\)

Đúng ko ta.Kết quả hổng đẹp chút nào:(((

\(E=\frac{\left(\frac{2}{3}\right)^3\cdot\left(-\frac{3}{4}\right)^2\cdot\left(-1\right)^5}{\left(\frac{2}{5}\right)^2\cdot\left(\frac{-5}{12}\right)^3}\)

\(E=\frac{\frac{2^3}{3^3}\cdot\frac{3^2}{4^2}\cdot\left(-1\right)}{\frac{2^2}{5^2}\cdot\frac{\left(-5\right)^3}{12^3}}\)

\(E=\frac{\frac{-2}{3\cdot4}}{\frac{2^2}{5^2}\cdot\frac{-5^3}{2^6\cdot3^3}}=-\frac{\frac{1}{3}}{-\frac{5}{2^4\cdot3^3}}=\frac{2^4\cdot3^2}{5}\)

a)

1/4:(31/16-2+1/2)+1

=1/4:(-1/16+1/2)+1

=(1/4:7/16)+1

=4/7+1

=11/7

b)

43/6:(-7/6)+65/6.(-7/6)+1/2

=-43/7+-455/36+1/2

=-4607/252

c)

1/4+11/2.5/2+-2

=23/4.5/2+-2

=115/8+-2

=99/8

d) bài 4 rất dễ bạn tự làm đi nhé

tick cho mk đi nhanh lên đó nhiên

=

ai tick minh minh tick lai cho

hua 100%

\(\frac{27^2.8^5}{6^6.32^3}=\frac{\left(3^3\right)^2.\left(2^3\right)^5}{2^6.3^6.\left(2^5\right)^3}\)

               \(=\frac{3^6.2^{15}}{2^6.3^6.2^{15}}\)

                \(=\frac{1}{2^6}\)

Câu 1:

A = \(\frac{25.9-25.17}{-8.80-8.10}\)

A = \(\frac{25.\left(9-17\right)}{-8.10\left(8+1\right)}\)

A = \(\frac{5.5.\left(-8\right)}{-8.10.9}\)

A = \(\frac{5.5.2.4}{2.4.5.2.9}\)

A = \(\frac{5}{18}\)

B = \(\frac{48.12-48.15}{-3.270-3.30}\)

B = \(\frac{48.\left(12-15\right)}{-3.30\left(9+1\right)}\)

B = \(\frac{6.8.\left(-3\right)}{-3.30.10}\)

B = \(\frac{6.2.4.\left(-3\right)}{-3.5.6.2.5}\)

B = \(\frac{4}{25}\) = \(\frac{20}{125}\) < \(\frac{20}{72}\) = \(\frac{5}{18}\)

A > B

Câu 2:

A = \(\frac{2^5.7+2^5}{2^5-2^5.3}\)

A = \(\frac{2^5.\left(7+1\right)}{2^5-2^5.3}\)

A = \(\frac{2^5.8}{2^5.\left(1-3\right)}\)

A = \(\frac{8}{-2}\)

A = -4

B = \(\frac{3^4.5-3^6}{3^4.13+3^4}\)

B = \(\frac{3^4.\left(1-3^2\right)}{3^4.\left(13+1\right)}\)

B = \(\frac{1-9}{14}\)

B = \(\frac{-8}{14}\)

B = \(\frac{-4}{7}\) > - 4

Vậy A < B