Bai 1: thuc hien phep tinh
\(\frac{-4}{11}\).\(\frac{2}{5}\)+\(\frac{6}{11}\).\(\frac{-3}{10}\)
Thuc hien phep tinh \(\frac{5}{4-\sqrt{11}}+\frac{1}{3+\sqrt{7}}-\frac{6}{\sqrt{7}-2}-\frac{\sqrt{7}-5}{2}\)
Thuc hien phep tinh:
a/\(\frac{\frac{1}{9}-\frac{1}{7}-\frac{1}{11}}{\frac{4}{9}-\frac{4}{7}-\frac{4}{11}}\)+ \(\frac{0,6-\frac{3}{25}-\frac{3}{125}-\frac{3}{625}}{\frac{4}{5}-0,16-\frac{4}{125}-\frac{4}{625}}\)
b/ \(\frac{2^{12}.3^5-4^6.9^2}{\left(2^2.3\right)^6+8^4.3^5}-\frac{5^{10}.7^3-25^5.49^2}{\left(125.7\right)^3+5^9.14^3}\)
giúp tui với : -8 . 25 . ( -2 ) . ( -25 ) .4 .125
bai: Thuc hien phep tinh bang cach hop ly nhat:
a) \((\frac{1}{5}-\frac{1}{4})^2\)
b) \((\frac{5}{3}+\frac{1}{2}):\frac{-13}{5}+1\frac{5}{6}\)
c) \((\frac{3}{17})^4.(\frac{-17}{6})^4\)
a, \(\left(\frac{1}{5}-\frac{1}{4}\right)^2=\left(\frac{-1}{20}\right)^2=\frac{1}{400}\)
b, \(\left(\frac{5}{3}+\frac{1}{2}\right):\frac{-13}{5}+1\frac{5}{6}\)
=> \(\frac{13}{6}:\frac{-13}{5}+\frac{11}{6}\)
=> \(\frac{13}{6}.\frac{5}{-13}+\frac{11}{6}\)
=> \(\frac{-5}{6}+\frac{11}{6}=\frac{6}{6}=1\)
c, \(\left(\frac{3}{17}\right)^4.\left(\frac{-17}{6}\right)^4\)
=> \(\left(\frac{3}{17}.\frac{-17}{6}\right)^4=\left(\frac{-1}{2}\right)^4=\frac{1}{16}\)
a) \(\left(\frac{1}{5}-\frac{1}{4}\right)^2=\left(-\frac{1}{20}\right)^2=\frac{1}{400}.\)
b) \(\left(\frac{5}{3}+\frac{1}{2}\right):-\frac{13}{5}+1\frac{5}{6}\)
= \(\frac{13}{6}:\left(-\frac{13}{5}\right)+\frac{11}{6}\)
= \(\left(-\frac{5}{6}\right)+\frac{11}{6}\)
= \(1.\)
c) \(\left(\frac{3}{17}\right)^4.\left(-\frac{17}{6}\right)^4\)
= \(\left[\frac{3}{17}.\left(-\frac{17}{6}\right)\right]^4\)
= \(\left(-\frac{1}{2}\right)^4=\frac{1}{16}.\)
Chúc bạn học tốt!
Thuc hien phep tinh
a) \(\frac{-5}{9}+\frac{8}{15}+\frac{-2}{11}+\frac{4}{-9}+\frac{7}{15}\)
b) \(\left(3\frac{2}{5}+2\frac{3}{4}\right)-4\frac{2}{5}\)
-5/9+8/15+-2/11+-4/9/7/17
(-5/9+-4/9)+(8/15+7/15+-2/11
-1+1+-2/11
-2/11
(17/5+11/4)-22/5
123/20-22/5
123/20-88/20
35/20
bai 1 :thuc hien phep tinh
a)\(\frac{-5}{2}:\left(\frac{3}{4}-\frac{1}{2}\right)\) b) \(11\frac{3}{13}-\left(2\frac{4}{7}+5\frac{3}{13}\right)\) c)\(\left(\frac{-5}{24}+0,75+\frac{7}{12}\right):\left(-2\frac{1}{4}\right)^2\)
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MK DAG CAN GAP !!!!!!! CAC BAN LAM NHANH LEN NHA
\(\frac{9+\frac{9}{11}+\frac{18}{23}-\frac{27}{37}}{8+\frac{8}{11}+\frac{16}{23}-\frac{24}{37}}-\frac{2+\frac{16}{29}-\frac{24}{13}-\frac{32}{11}}{3+\frac{24}{29}-\frac{36}{13}-\frac{48}{11}}\)
Thuc hien phep tinh
Đặt \(A=\frac{9+\frac{9}{11}+\frac{18}{23}-\frac{27}{37}}{8+\frac{8}{11}+\frac{16}{23}-\frac{24}{37}}-\frac{2+\frac{16}{29}-\frac{24}{13}-\frac{32}{11}}{3+\frac{24}{29}-\frac{36}{13}-\frac{48}{11}}\)\(=\frac{9\left(1+\frac{1}{11}+\frac{2}{23}-\frac{3}{37}\right)}{8\left(1+\frac{1}{11}+\frac{2}{23}-\frac{3}{37}\right)}-\frac{2\left(1+\frac{8}{29}-\frac{12}{13}-\frac{16}{11}\right)}{3\left(1+\frac{8}{29}-\frac{12}{13}-\frac{16}{11}\right)}\)
\(=\frac{9}{8}-\frac{2}{3}\)(do \(1+\frac{1}{11}+\frac{2}{23}-\frac{3}{37};1+\frac{8}{29}-\frac{12}{13}-\frac{16}{11}\ne0\))
\(=\frac{27}{24}-\frac{16}{24}=\frac{11}{24}.\)
Vậy A = \(\frac{11}{24}.\)
Thuc hien phep tinh
c) \(\left(5\frac{2}{3}-4\frac{5}{6}\right)+1\frac{1}{6}\)
d) \(9\frac{5}{13}-\left(\frac{2}{5}+4\frac{5}{13}\right)\)
Thuc hien phep tinh;
a/ \(\frac{5}{15}+\frac{14}{15}-\frac{12}{9}+\frac{2}{7}+\frac{11}{25}\)
b/ \(4.\frac{-1^3}{2}+\frac{1}{2}\)
c/ \(\frac{10^3+5.10^2+5^3}{6^3+3.6^2+3^3}\)
d/ \(\frac{2^8.9^2}{6^4.8^2}\)
e/(\(9\frac{3}{4}:5,2+3,4.2\frac{7}{34}\)):(-1\(\frac{9}{16}\))
f/\(\frac{\frac{2^3}{3}.\frac{-3^2}{4}.\left(-1\right)^5}{\frac{2^2}{5}.\frac{-5^3}{6}}\)
Thuc hien phep tinh sau
\(\frac{11}{5.7}+\frac{11}{7.9}+.......+\frac{11}{59.61}\)
Guip mik voi
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=> \(\Rightarrow\left(\frac{11}{5}-\frac{11}{7}+\frac{11}{7}-\frac{11}{9}+...+\frac{11}{59}-\frac{11}{61}\right):2=\left(\frac{11}{5}-\frac{11}{61}\right):2=\frac{616}{305}:2=\frac{308}{305}\)
Đặt \(A=\frac{11}{5.7}+\frac{11}{7.9}+...+\frac{11}{59.61}\)
\(\Rightarrow2A:11=\frac{2}{5.7}+\frac{2}{7.9}+...+\frac{2}{59.61}\)
\(\Rightarrow2A:11=\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{59}-\frac{1}{61}\)
\(\Rightarrow2A:11=\frac{1}{5}-\frac{1}{61}\)
\(\Rightarrow2A:11=\frac{56}{305}\)
\(\Rightarrow2A=\frac{56}{305}.11=\frac{616}{305}\)
\(\Rightarrow A=\frac{616}{305}:2=\frac{308}{305}\)
Vậy kết quả của phép tính trên là \(\frac{308}{305}\)
11/2x(1/5-1/7+1/7+1/9+.....+1/59-1/61)
=11/2x(1/5-1/61)
=11/2x56/305
=308/305