a: =-5/21

b: \(=\dfrac{15}{4}-\dfrac{9}{4}=\dfrac{6}{4}=\dfrac{3}{2}\)

c: \(=\left(\dfrac{31}{10}-\dfrac{25}{10}\right)\cdot3-2=\dfrac{6}{10}\cdot3-2=\dfrac{18}{10}-\dfrac{20}{10}=\dfrac{-2}{10}=\dfrac{-1}{5}\)

d: \(=\dfrac{4}{3}\cdot\dfrac{1}{20}=\dfrac{4}{60}=\dfrac{1}{15}\)

a: \(=\dfrac{-15}{25}\cdot\dfrac{8}{16}=\dfrac{-3}{5}\cdot\dfrac{1}{2}=\dfrac{-3}{10}\)

b: \(=\dfrac{2}{3}+\dfrac{2}{7}=\dfrac{20}{21}\)

c: \(=\dfrac{3}{2}\cdot\dfrac{-3+2}{4}=\dfrac{3}{2}\cdot\dfrac{-1}{4}=\dfrac{-3}{8}\)

d: \(=\dfrac{7}{11}\cdot\dfrac{11}{7}\cdot\dfrac{-3}{41}=-\dfrac{3}{41}\)

1.

\(\sqrt{a}.\sqrt{\frac{32}{a}}=\sqrt{a.\frac{32}{a}}=\sqrt{32}=\sqrt{4^2.2}=4\sqrt{2}\)

2.

\(\sqrt{3,6a}.\sqrt{10a^3}=\sqrt{3,6a.10a^3}=\sqrt{36a^4}=\sqrt{(6a^2)^2}=6a^2\)

3.

\(\sqrt{0,5a}.\sqrt{50a^3}=\sqrt{0,5a.50a^3}=\sqrt{25a^4}=\sqrt{(5a^2)^2}=5a^2\)

4.

\(\sqrt{2a^3}.\sqrt{50a}=\sqrt{2a^3.50a}=\sqrt{100a^4}=\sqrt{(10a^2)^2}=10a^2\)

A

A

B

D

B

D

B

C

C

C

A

Em cần cụ thể bài nào thì nhờ mọi người nha, đừng up lên không nói gì như thế là không tôn trọng em ạ!

\(\dfrac{3^7.8^3}{6^5.12^2}=\dfrac{3^7.\left(2^3\right)^3}{\left(2.3\right)^5.\left(2^2.3\right)^2}=\dfrac{3^7.2^9}{2^5.3^5.2^4.3^2}=\dfrac{3^7.2^9}{3^7.2^9}=1\)

\(\dfrac{15^3+3.15^2+5^2.3^3}{7.5.3^3}=\dfrac{3^3.5^3+3.3^2.5^2+3^3.5^2}{7.5.3^3}=\dfrac{5.3^3\left(5^2+5+5\right)}{7.5.3^3}=\dfrac{25+5+5}{7}=5\)

c) \(\dfrac{3^7\cdot8^3}{6^5\cdot12^2}=\dfrac{3^7\cdot2^9}{2^5\cdot3^5\cdot3^2\cdot2^4}=1\)

d) \(\dfrac{15^3+3\cdot15^2+5^2\cdot3^3}{7\cdot5\cdot3^3}=\dfrac{15^3+3\cdot15^2+15^2\cdot3}{7\cdot5\cdot3^3}\)

\(=\dfrac{15^2\cdot\left(15+6\right)}{7\cdot5\cdot3^3}=\dfrac{3^3\cdot5^2\cdot7}{7\cdot5\cdot3^3}=5\)

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