b= 6^30.3^11.7-2^31.5.3^40/2^28.17.3^38-6^27.3^11
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a: \(\dfrac{-3}{25}\cdot\dfrac{4}{17}\cdot\dfrac{5}{-3}\cdot\dfrac{17}{2}=\dfrac{4}{17}\cdot\dfrac{17}{2}\cdot\dfrac{3}{25}\cdot\dfrac{5}{3}=2\cdot\dfrac{1}{5}=\dfrac{2}{5}\)
b: \(=-\dfrac{8}{15}\cdot\dfrac{13}{16}\cdot\dfrac{30}{13}=\dfrac{-8}{15}\cdot\dfrac{15}{8}=-1\)
c: \(=\dfrac{3}{11}\left(\dfrac{2}{9}\cdot\dfrac{-8}{33}+\dfrac{7}{9}\right)=\dfrac{3}{11}\cdot\dfrac{215}{297}=\dfrac{2015}{1089}\)
1. I go to school at 6:40.
2. My school finishes at 11:30.
3. What does your sister do? - She's a pupil.
4. My father watered the flowers yesterday morning.
5. He goes to bed at 9:45.
6. My mother gets up early in the morning.
7. Mr. Tuan is a doctor. He works in the medical field.
8. Her grandfather plants rice, and vegetables, and raises pigs and chickens. He is a farmer.
9. Mr. Lien teaches English at my school. He is a teacher.
10. There are four people in my family: my father, my mother, my brother, and me.
1 6.40 => 6
2 finish => finishes
3 what do => what does
4 water => waters
5 on => to
6 on => in
7 field => hospital
8 factory worker => farmer
9 pupil => teacher
10 is => are
1. Tìm x, biết:
a) \(\frac{4}{x}=\frac{8}{6}\). Ta có: \(\frac{8}{6}=\frac{8:2}{6:2}=\frac{4}{3}\Rightarrow x=3\)
b) \(\frac{3}{x-5}=\frac{4}{x+2}\). Ta có: \(5-2=3\)
\(\Rightarrow x=\left(3.5\right)+\left(4.2\right)+3=15+8+3=26\)
c) \(\frac{x}{-2}=\frac{-8}{x}\Rightarrow x=\left(-8\right):\left(-2\right)=4\)
2. Rút gọn
a) \(\frac{2^4.5^2.11^2.7}{2^3.5^3.7^2.11}\Leftrightarrow\frac{2^3.2^1.5^2.11.11.7}{2^3.5^2.5^1.7.7.11}\Leftrightarrow\frac{2^1.11}{5^1.7}=\frac{22}{35}\)
b) Tương tự
c) Tương tự
\(\frac{4}{x}=\frac{8}{6}\Rightarrow x=\frac{4.6}{8}=3\)
\(\frac{3}{x-5}=\frac{-4}{x+2}\Rightarrow3\left(x+2\right)=-4\left(x-5\right)\)
\(\Rightarrow3x+6=-4x+20\)
\(\Rightarrow3x+4x=20-6\)
\(\Rightarrow7x=14\)
\(\Rightarrow x=2\)
\(\frac{x}{-2}=\frac{-8}{x}\Rightarrow x^2=\left(-8\right)\left(-2\right)=16\Rightarrow x=\pm4\)
\(B=\dfrac{6^{30}\cdot3^{11}\cdot7-2^{31}\cdot5\cdot3^{40}}{2^{28}\cdot17\cdot3^{38}-6^{27}\cdot3^{11}}\)
\(=\dfrac{2^{30}\cdot3^{41}\cdot7-2^{31}\cdot5\cdot3^{40}}{2^{28}\cdot17\cdot3^{38}-2^{27}\cdot3^{38}}\)
\(=\dfrac{2^{30}\cdot3^{40}\left(3\cdot7-2\cdot5\right)}{2^{27}\cdot3^{38}\left(2\cdot17-1\right)}\)
\(=\dfrac{2^3\cdot3^2\cdot\left(21-10\right)}{34-1}=\dfrac{2^3\cdot3^2\cdot11}{33}=\dfrac{2^3\cdot3^2}{3}=2^3\cdot3=24\)