Ừm đáp án này:

2^14 . 3^4 . 9^6 / 6^13

= (2^2)^7 . 3^4 . (3^2)6 / (2.3)^13

= 2^14 . 3^4 . 3^12 / 2^13 . 3^13

= 2 . 3^3 . 1 / 1 . 1 . 1

= 2 . 27

= 54

Bạn ơi dấu / thay cho dấu bằng còn ^ thay cho mũ nhé

Hơi rối mắt tí :3

54 đấy  ông sáng mà ko tick cho tui thì

Nguyễn Quang Thành làm đàng hoàng

a, \(4^7.3^4.9^6:6^{13}\)

\(=\left(2^{14}.3^4.3^{12}\right):\left(2^{13}.3^{13}\right)\)

\(=2^{14}:2^{13}.3^{16}:3^{13}\)

\(=2.3^3=54\)

b, \(2^3.3^2-5^{16}:25^7\)

\(=72-5^{16}:5^{14}\)

\(=72-5^2=47\)

4^7.3^4.9^6:6^13=4^7.3^4.(3^2)^6:6^13

=4^7.3^16:3^13.2^13

=(2^2)^7.3^16:3^13.2^13

=2^14.3^16:3^13.2^13

=2.3^3

=54

\(\dfrac{-5}{7}\cdot\dfrac{3}{13}-\dfrac{5}{7}\cdot\dfrac{10}{13}+1\dfrac{5}{7}=\dfrac{5}{7}\cdot\dfrac{-3}{13}-\dfrac{5}{7}\cdot\dfrac{10}{13}+\dfrac{12}{7}\cdot1=\dfrac{5}{7}\cdot\left(\dfrac{-3}{13}-\dfrac{10}{13}\right)+\dfrac{12}{7}=\dfrac{5}{7}-1+\dfrac{12}{7}=-\dfrac{5}{7}+\dfrac{12}{7}=\dfrac{7}{7}=1\)

=-5/7(3/13+10/13)+12/7

=-5/7+12/7=1

\(=\dfrac{5}{7}\cdot\left(-\dfrac{3}{13}+\dfrac{10}{13}+1\right)=\dfrac{5}{7}\cdot8=\dfrac{40}{7}\)

\(\frac{\frac{6}{13}-\frac{6}{23}+\frac{6}{33}-\frac{6}{43}}{\frac{5}{13}-\frac{5}{23}+\frac{5}{33}-\frac{5}{43}}\)

= \(\frac{6.\left(\frac{1}{13}-\frac{1}{23}+\frac{1}{33}-\frac{1}{43}\right)}{5.\left(\frac{1}{13}-\frac{1}{23}+\frac{1}{33}-\frac{1}{43}\right)}\)

= \(\frac{6}{5}\)

k cho mình nhé

=( 19/13+7/13) + ( 17/9+1/9) + ( 7/3 + 2/3)

= 26/13 + 18/9 + 9/3

= 2 + 2+3

= 7