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

\(b,\)Tương tự

$\textbf{a)}$

$\dfrac{2^5\cdot3^{12}\cdot7^8}{2^7\cdot3^{10}\cdot7^9}$

$=\dfrac{3^{12-10}}{2^{7-5}\cdot7^{9-8}}$

$=\dfrac{3^2}{2^2\cdot7}$

$=\dfrac{9}{28}.$

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

Đề là như vầy đúng ko bn?

$\textbf{A)}$

$\dfrac{4^5\cdot9^4-2\cdot6^9}{2^{10}\cdot3^8+6^8\cdot20}$

$=\dfrac{(2^2)^5(3^2)^4-2(2\cdot3)^9}{2^{10}\cdot3^8+2^2\cdot5(2\cdot3)^8}$

$=\dfrac{2^{10}3^8-2^{10}3^9}{2^{10}3^8+2^{10}\cdot5\cdot3^8}$

$=\dfrac{2^{10}3^8(1-3)}{2^{10}3^8(1+5)}$

$=\dfrac{-2}{6}$

$=-\dfrac{1}{3}.$

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

A=5^10 .9+5^10.7 / 5^9.2^4

A=5^10.(9+7) / 5^9.16

A=5^10.16 /5^9.16

A=5^9.5.16/5^9.16

=>A=5/1

=>A=1

B=2^10.55+2^10. 26 / 2^8 . 27

B=2^10.(55+26) / 2^8 .27

B=2^10.81 / 2^8 .27

B=2^8.2^2.81 / 2^8.27

=>B=2^2.81 / 27

=>B=4.81 / 27

=>B=4.3^3.3 / 3^3

=>B=4.3

=>B=12

Cn phần C thì....mik chưa rõ lém nhưng mak nếu ai cko mik là dzui lém òy......ủng hộ nhoa mina

6 nhaan3 băng2

1 phần 2 nhân 3 phần 4 cộng 1 phần 2 nhân 1 phần 4 ; 11 phần 3 nhân 26 phần 7 trừ 20 phần 7 nhân 8 phần 30

mày định giết tao à

= 2031250 x 62145792 x 0

= 0

$(5^7+5^9)(6^8+6^{10})(2^4-4^2)$

$=5^7(1+5^2)\cdot6^8(1+6^2)\cdot(16-16)$

$=5^7\cdot26\cdot6^8\cdot37\cdot0$

$=0.$

58589824

\(\frac{2^{15}\cdot9^4}{6^6\cdot8^3}\)

\(=\frac{2^{15}\cdot3^8}{2^6\cdot3^6\cdot\left(2^3\right)^3}\)

\(=\frac{2^{15}\cdot3^8}{2^{15}\cdot3^6}=3^2=9\)