Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
\(\frac{2^3.3^3.5^3.7.8}{3.2^4.5^3.14}=\frac{2^3.3^3.5^3.7.2^3}{3.2^4.5^3.2.7}\)
\(=\frac{2^6.3^3.5^3.7}{2^5.3.5^3.7}=\frac{2.3^2.1.1}{1.1.1.1}=2.3^2\)
\(=2.9=18\)
\(\frac{2^3.3^3.5^3.7.8}{3.2^4.5^3.14}=\frac{1.3^2.1.1.8}{1.2.1.2}=\frac{3.3.4}{2.1}=\frac{3.3.2}{1}=18\)
\(\frac{2^3.3^3.5^3.7.8}{3.2^4.5^3.14}\)mk viết như vầy bn cố gắng hiểu nhé:.
23.33.53.7.8/ 3.24.53.14
= 23.33.53.7.8/3.24.53.7.2
=23.33.53.8/3.24.53.2
=23.33.53.23/24.2.53
= 23.23.33.53/ 24.2.53
= 26. 33.53/ 25. 53
= 25.2.33.53/25.53
= 2.33/1
= 2. 27/1
= 54/1 = 54
Thế nha bn, chúc bn học tốt!
a) \(\dfrac{2^4\cdot5^2\cdot7}{2^3\cdot5\cdot7^2\cdot11}=\dfrac{2^3\cdot5\cdot10\cdot7}{2^3\cdot5\cdot7\cdot77}=\dfrac{10}{77}\)
\(\dfrac{2^3\cdot3^3\cdot5^3\cdot7\cdot8}{3\cdot2^4\cdot5^3\cdot14}=\dfrac{2^3\cdot3\cdot5^3\cdot7\cdot3^2\cdot8}{3\cdot2^3\cdot2\cdot5^3\cdot14}=\dfrac{7\cdot3^2\cdot8}{2\cdot14}=\dfrac{63\cdot8}{2\cdot14}=18=\dfrac{1386}{77}\)
\(=\frac{-\frac{1}{9}+1-\frac{2}{10}+1-\frac{3}{11}+1-...-\frac{92}{100}+1}{\frac{1}{9}+\frac{1}{10}+...+\frac{1}{100}}\)
\(=\frac{\frac{8}{9}+\frac{8}{10}+\frac{8}{11}+...+\frac{8}{100}}{\frac{1}{9}+\frac{1}{10}+...+\frac{1}{100}}\)
\(=\frac{8\left(\frac{1}{9}+\frac{1}{10}+\frac{1}{11}+...+\frac{1}{100}\right)}{\frac{1}{9}+\frac{1}{10}+\frac{1}{11}+...+\frac{1}{100}}\)
= 8
Ta có:
\(\frac{\left(-2\right)^3.3^3.5^3.7.8}{3.5^3.2^4.42}=\frac{\left(-2\right).\left(-2\right).\left(-2\right).3.3.3.5.5.5.7.2.2.2}{3.5.5.5.2.2.2.2.2.3.7}\)
\(=\frac{\left(-2\right)}{1}=-2\)
\(\frac{2^3.3^3.5^3.7.8}{3.2^4.5^3.14}=\frac{2^3.3^3.5^3.7.2^3}{3.2^4.5^3.2.7}\)
\(=\frac{2^6.3^3.5^3.7}{2^5.3.5^3.7}\)
\(=\frac{\left(2^5.3.5^3.7\right).2.3^2}{2^5.3.5^3.7}\)
\(=2.9=18\)
\(=\frac{3.8}{2.2}=\frac{24}{4}=6\)