a) \(\frac{75^3.3^7}{81^4.5^6}=\frac{5^3.3^3.5^3.3^7}{\left(3^4\right)^4.5^6}=\frac{5^6.3^3.3^7}{3^{16}.5^6}=\frac{3^{10}}{3^{16}}=\frac{1}{3^6}=\frac{1}{729}\)
b) \(\frac{6^6.4^2}{3^{12}.2^8}=\frac{2^6.3^6.\left(2^2\right)^2}{3^{12}.2^8}=\frac{2^6.3^6.2^4}{3^{12}.2^8}=\frac{2^{10}.3^6}{3^{12}.2^8}=\frac{2^2.1}{3^6}=\frac{4}{729}\)
c) \(\frac{34^5.2^5}{2^{14}.17^5}=\frac{2^5.17^5.2^5}{2^{14}.17^5}=\frac{2^{10}}{2^{14}}=\frac{1}{2^4}=\frac{1}{16}\)

 1/2 x 2 mũ n cộng 4 x 2 mũ n = 9 x 2 mũ n

\(\dfrac{27^4\cdot\left(-8\right)^2}{9^5\cdot6^3}=\dfrac{\left(3^3\right)^4\cdot\left(2^3\right)^2}{\left(3^2\right)^5\cdot\left(2\cdot3\right)^3}=\dfrac{3^{12}\cdot2^6}{3^{10}\cdot2^3\cdot3^3}=\dfrac{2^3}{3}=\dfrac{8}{3}\)

\(\dfrac{24^4.\left(-8\right)^2}{9^5.6^3}\)

=\(\dfrac{\left(4.6\right)^4.\left(2^3\right)^2}{\left(3^2\right)^5.6^3}\)

=\(\dfrac{4^4.6^4.2^6}{3^{10}.6^3}\)

=\(\dfrac{2^{14}.6}{3^{10}}\)

Thế này à:

a, \(\frac{2^{13}+25}{2^{10}}\)

b, \(\frac{21^2.14.125}{35^5.6}\)

c,\(\frac{45^3.20^4.18^2}{180^5}\)

d, \(\frac{11.3^{22}.3^7-9^{15}}{\left(2.3^{14}\right)^2}\)

2 mũ 13 ta chia cho 2 mũ 10 ta có là 2 mũ 3 chuyển thành 8 rồi cộng cho 25 ta có là 33

mấy quân ni xoạc nên mới đâm ra thần kinh

\(a=4^5.9^4-2.\dfrac{6^9}{2^{10}}.3^8+6^8.20\)

Đề là như vầy đúng ko bn?

\(\dfrac{2^7\cdot9^3}{6^5\cdot8^2}\\ =\dfrac{2^7\cdot\left(3^2\right)^3}{\left(2\cdot3\right)^5\cdot\left(2^3\right)^2}\\ =\dfrac{2^7\cdot3^6}{2^5\cdot3^5\cdot2^6}\\ =\dfrac{2^2\cdot3}{2^6}\\ =\dfrac{4\cdot3}{64}\\ =\dfrac{12}{64}\\ =\dfrac{3}{16}\)

mình chịu

chịu thì vào đây chat lm j

\(a,\)\(\frac{2^5\times3^{12}\times7^8}{2^7\times3^{10}\times7^9}=\frac{3^2\times\left(2^5\times3^{10}\times7^8\right)}{2^2\times7\times\left(2^5\times3^{10}\times7^8\right)}\)\(=\frac{3^2}{2^2\times7}=\frac{9}{28}\)

\(b,\)Tương tự