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

Đ

S

Đ

S

Đ

S

Đ

S

a) Đ
b) S
c) Đ
d) S

\(\frac{2}{3}\)x \(\frac{5}{8}\)x \(\frac{8}{15}\)= \(\frac{2}{3}\)x \(\frac{1}{15}\)= \(\frac{2}{45}\)

\(\frac{22}{5}\)x \(12\)x \(\frac{20}{40}\)= \(\frac{22}{5}\)x \(12\)x \(\frac{1}{2}\)= \(\frac{22}{5}\)x 6 = \(\frac{122}{5}\)

\(\frac{7}{2}\)x \(\frac{26}{7}\)x \(\frac{4}{13}\)= \(\frac{91}{7}\)x \(\frac{4}{13}\)

\(\frac{10}{3}.x+\frac{67}{4}=\frac{53}{4}\)

\(\frac{10}{3}.x=\frac{53}{4}-\frac{67}{4}\)

\(\frac{10}{3}.x=-\frac{7}{2}\)

\(x=-\frac{7}{2}:\frac{10}{3}\)

\(x=-\frac{21}{20}\)

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

\(b,\)Tương tự

a: \(=\dfrac{3}{7}\left(\dfrac{4}{9}-\dfrac{13}{9}\right)=-\dfrac{3}{7}\)

b: \(=-\dfrac{5}{8}\left(\dfrac{3}{11}-\dfrac{12}{11}\right)=\dfrac{-5}{8}\cdot\dfrac{-9}{11}=\dfrac{45}{88}\)

`7/12 + 3/4 xx 2/9`

`= 7/12 + 6/36`

`= 7/12 + 1/6`

`= 7/12 + 2/12`

`= 9/12`

`= 3/4`

__

`8/9 - 4/15 : 2/5`

`= 8/9- 4/15 xx 5/2`

`= 8/9 - 20/30`

`= 8/9- 2/3`

`= 8/9- 6/9`

`= 2/9`

a)

`7/12+3/4xx2/9`

`=7/12+1/6`

`=7/12+2/12`

`=9/12`

`=3/4`

b)

`8/9-4/15:2/5`

`=8/9-4/15xx5/2`

`=8/9-2/3`

`=8/9-6/9`

`=2/9`

ai làm đúng e tích đúng cho

ai nhNH MK K

cả hai phép = 0

ghi ra

(45-5x9)x1x2x3x4x5x6x7 

= 0         x1x2x3x4x5x6x7

=0

(1+2+3+4+5+6+7+8+9+10)x(72-8x8-8)

=(1+2+3+4+5+6+7+8+9+10)x0

= 0

#Ninh Nguyễn