a) \(\dfrac{22}{55}=\dfrac{2}{5}\)

b) \(\dfrac{-63}{81}=\dfrac{-7}{9}\)

c) \(\dfrac{2.14}{7.8}=\dfrac{2.7.2}{7.2.2.2}=\dfrac{1}{2}\)

d) \(\dfrac{49+7.49}{49}=\dfrac{49.\left(7+1\right)}{49}=\dfrac{49.8}{49}=8\)

\(\dfrac{22}{55}=\dfrac{2}{5}\)                                          \(\dfrac{-63}{81}=\dfrac{-7}{9}\)

\(\dfrac{2.14}{7.8}=\dfrac{28}{56}=\dfrac{1}{2}\)                             \(\dfrac{49+7.49}{49}=8\)

a. \(\dfrac{8,5-8,2}{16}=\dfrac{0,3}{16}=\dfrac{3}{160}\)

b. \(\dfrac{2\cdot14}{7\cdot8}=\dfrac{1\cdot2}{1\cdot4}=\dfrac{2}{4}=\dfrac{1}{2}\)

c. \(\dfrac{11\cdot4-11}{2-13}=\dfrac{11\left(4-1\right)}{-11}=\dfrac{1\cdot3}{-1}=-3\)

d. \(\dfrac{49+7\cdot49}{49}=\dfrac{49\cdot\left(1+7\right)}{49}=\dfrac{8}{1}=8\)

Giúp mình với các bạn 😥😥😥😥

a) .

b)

c)

d)

e)

.

\(\frac{3.5}{8.24}=\frac{3.5}{2^3.2^3.3}=\frac{1.5}{8.8.1}=\frac{5}{64}\)

\(\frac{2.14}{7.8}=\frac{2.7.2}{7.2^3}=\frac{1.7}{7.2}=\frac{1}{2}\)

\(\frac{3.7.11}{22.9}=\frac{1.7.11}{11.2.3}=\frac{1.7.1}{1.2.3}=\frac{7}{6}\)

\(\frac{8.5-8.2}{16}=\frac{8\left(5-2\right)}{8.2}=\frac{8.3}{8.2}=\frac{1.3}{1.2}=\frac{3}{2}\)

\(\frac{11.4-11}{2-13}=\frac{11\left(4-1\right)}{-11}=\frac{11.3}{-11}=-3\)

Bài 17 (Sgk Toán 6 Trang 15)

a) 3.5/8.24=3.5:3/8.24:3=5/8.8=5/64.

b) 2.14/7.8=2.2.7/7.2^3=2.7/7.4=1/2.

c) 3.7.11/22.9=3.7.1/12.11.3^2=7/2.3=76.

d)  8.5−8.2/16=(8.5−8.2):8/16:8=5−2/2=32.

e) 11.4−11/2−13=11.4−11/−11=(11.4−11):11/−11:11=4−1/−1=−3/1=-3

Rút gọn:

a) \frac{3900-15}{3120-12}=3120−123900−15​=

b) \frac{1620+12}{2025+15}=2025+151620+12​=

\(\frac{21^2.14^3.125^3}{35^2.36}=\frac{\left(3.7\right)^2.\left(2.7\right)^3.\left(5^3\right)^3}{\left(5.7\right)^2.2^2.3^2}=\frac{3^7.7^2.2^3.7^3.5^9}{5^2.7^2.2^2.3^2}=\frac{3^7.7^5.2^3.5^9}{5^2.7^2.2^2.3^2}=2.3^5.5^7.7^3\)

\(\frac{4.6^{14}}{9^7.8^5}=\frac{2^2.\left(2.3\right)^{14}}{\left(3^2\right)^7.\left(2^3\right)^5}=\frac{2^{16}.3^{14}}{3^{14}.2^{15}}=2\)

\(\frac{4.6^{14}}{9^7.8^5}=\frac{2^2.2^{14}.3^{14}}{\left(3^2\right)^7.\left(2^3\right)^5}=\frac{2^2.2^{14}.3^{14}}{3^{14}.2^{15}}=2\)

học tốt

\(\frac{2^2.\left(3.2\right)^{14}}{\left(3^2\right)^{14}.\left(2^3\right)^5}\)=\(\frac{2^2.3^{14}.2^{14}}{3^{28}.2^{15}}\)=\(\frac{2^2.2^{14}}{3^{14}.2^{15}}\)=\(\frac{2^{16}}{3^{14}.2^{15}}\)=\(\frac{2}{3^{14}}\)

            Bài làm :

Ta có :

\(\frac{2^{15}.9^4}{6^7.8^3}=\frac{2^{15}.\left(3^2\right)^4}{\left(2.3\right)^7.\left(2^3\right)^3}=\frac{2^{15}.3^8}{2^7.3^72^9}=\frac{3}{2}\)

Bài làm :

\(\frac{2^{15}.9^4}{6^7.8^3}\)

\(=\frac{2^{15}.\left(3^2\right)^4}{\left(2.3\right)^7.\left(2^3\right)^3}\)

\(=\frac{2^{15}.3^8}{2^7.3^7.2^9}\)

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

Học tốt nhé

\(\frac{2^{15}.9^4}{6^7.8^3}\)\(=\frac{2^{15}.\left(3^2\right)^4}{\left(2.3\right)^7.\left(2^3\right)^3}\)\(=\frac{2^{15}.3^8}{2^7.3^7.2^9}\)\(=\frac{2^{15}.3^8}{2^{16}.3^7}\)\(=\frac{1.3^1}{2^1.1}\)\(=\frac{3}{2}\)

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