\(\frac{9^{14}.25^5.8^7}{18^{12}.625^3.24^3}=\frac{\left(3^2\right)^{14}.\left(5^2\right)^5.\left(2^3\right)^7}{\left(2.3^2\right)^{12}.\left(5^4\right)^3.\left(3.2^3\right)^3}=\frac{3^{28}.5^{10}.2^{21}}{2^{12}.3^{24}.5^{12}.3^3.2^9}=\frac{3^{28}.5^{10}.2^{21}}{2^{21}.3^{27}.5^{12}}=\frac{3}{5^2}=\frac{3}{25}\)

\(\frac{9}{16}:\frac{27}{8}=\frac{9}{16}\times\frac{8}{27}=\frac{9\times8}{16\times27}=\frac{1\times1}{2\times3}=\frac{1}{6}\)\(\frac{1}{6}\)

\(\frac{40}{7}:\frac{5}{14}=\frac{40}{7}\times\frac{14}{5}=\frac{40\times14}{7\times5}=\frac{8\times2}{1\times1}\)\(=16\)

tk nha bn

chỉ 1 số 1/6 thôi nha bn

y=41/45

8/15

m=33/20

21/22 nhé

6/7

21/35 và 20/35 nhé

\(\frac{374}{506}=\frac{2.187}{253.2}=\frac{187}{253}\)

\(\frac{9^{14}.25^5.8^7}{18^{12}.625^3.24^3}\)

\(=\frac{3^{28}.5^{10}.2^{21}}{2^{12}.9^{12}.5^{12}.3^3.8^3}\)

\(=\frac{3^{28}.5^{10}.2^{21}}{2^{12}.3^{24}.5^{12}.3^3.2^9}\)

\(=\frac{3^{28}.5^{10}.2^{21}}{2^{21}.3^{27}.5^{12}}\)

\(=\frac{3}{5^2}\)

\(\frac{9^{14}\cdot25^5\cdot8^7}{18^{12}\cdot625^3\cdot24^3}=\frac{\left(3^2\right)^{14}\cdot\left(5^2\right)^5\cdot\left(2^3\right)^7}{\left(3^2\cdot2\right)^{12}\cdot\left(5^4\right)^3\cdot\left(3\cdot2^3\right)^3}\)

\(=\frac{3^{28}\cdot5^{10}\cdot2^{21}}{3^{24}\cdot2^{12}\cdot5^{12}\cdot3^3\cdot2^9}=\frac{3^{28}\cdot5^{10}\cdot2^{21}}{3^{25}\cdot5^{12}\cdot2^{21}}=\frac{3^3}{5^2}=\frac{27}{25}\)

9^14.25^5.8^7 =           9^14.25^5.8^7              =9^2.8^4         =3\25

18^12.625^3.24^3         9^12.2^12.25^6.8^3.3^3   2^12.25.3^3

a . 1/25

b . -2/3

c . 4/39

d . 26/45

giải.

a)  ;          b)  ;            c)  ;           d)  .

CHỊ CHO EM CÂU TRẢ  LỜI VỚI

\(\dfrac{9^{14}\cdot25^5\cdot8^7}{18^2\cdot625^3\cdot24^3}\)

\(=\dfrac{3^{42}\cdot5^{10}\cdot2^{21}}{2^2\cdot3^4\cdot5^{12}\cdot2^9\cdot3^3}=\dfrac{3^{42}\cdot5^{10}\cdot2^{21}}{2^{11}\cdot3^7\cdot5^{12}}\)

\(=\dfrac{3^{35}}{5^2}\cdot2^{10}\)