\(\dfrac{2^{11}.9^2}{3^5.16^2}\)
K
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19 tháng 9 2018
\(\frac{2^{11}\cdot9^2}{3^5\cdot16^2}\)
\(=\frac{2^{11}\cdot3^4}{3^5\cdot2^8}\)
\(=\frac{2^3}{3}\)
\(=\frac{8}{3}\)
17 tháng 8 2018
a) \(k=\frac{2^{11}.9^2}{3^5.16^2}=\frac{2^{11}.\left(3^2\right)^2}{3^5.\left(2^4\right)^2}=\frac{2^{11}.3^4}{3^5.2^8}=\frac{8.1}{3.1}=\frac{8}{3}\)
17 tháng 8 2018
b) \(N=\frac{9^3.27^2}{6^2.3^{10}}=\frac{\left(3^2\right)^3.\left(3^3\right)^2}{\left(2.3\right)^2.3^{10}}=\frac{3^6.3^6}{2^2.3^2.3^{10}}=\frac{3^{12}}{4.3^{12}}=\frac{1}{4}\)
30 tháng 7 2015
a) \(K=\frac{2^{11}\cdot9^2}{3^5\cdot16^2}=\frac{2^{11}\cdot3^4}{3^5\cdot2^8}=\frac{2^3}{3}=\frac{8}{3}\)
b) \(N=\frac{9^3\cdot27^2}{6^2\cdot3^{10}}=\frac{3^6\cdot3^6}{2^2\cdot3^2\cdot3^{10}}=\frac{1}{4}\)
c) \(P=\frac{27^{15}\cdot5^3\cdot8^4}{25^2\cdot81^{11}\cdot2^{11}}=\frac{3^{45}\cdot5^3\cdot2^{12}}{5^4\cdot3^{44}\cdot2^{11}}=\frac{3\cdot2}{5}=\frac{6}{5}\)
22 tháng 10 2017
\(\dfrac{\dfrac{2}{3}-\dfrac{2}{5}+\dfrac{2}{9}+\dfrac{2}{13}}{\dfrac{11}{3}-\dfrac{11}{5}+\dfrac{11}{9}+\dfrac{11}{13}}\)
\(=\dfrac{2\cdot\left(\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{9}+\dfrac{1}{13}\right)}{11\cdot\left(\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{9}+\dfrac{1}{13}\right)}\)
\(=\dfrac{2}{11}\)
16 tháng 4 2022
8: \(=\dfrac{-5}{9}-\dfrac{4}{9}+\dfrac{8}{15}+\dfrac{7}{15}-\dfrac{2}{11}=\dfrac{-2}{11}\)
9: =2/7-2/5+5/7=1-2/5=3/5
10: \(=\dfrac{7}{19}\left(\dfrac{8}{11}+\dfrac{3}{11}\right)-\dfrac{12}{19}=\dfrac{-5}{19}\)
11: \(=\dfrac{-5}{7}\left(\dfrac{2}{11}+\dfrac{9}{11}\right)=\dfrac{-5}{7}\)
MH
26 tháng 1 2022
\(A=\dfrac{-19}{9}.\dfrac{1}{2}-\dfrac{4}{11}.\dfrac{-11}{9}+\left(-\dfrac{2}{3}\right)=-\dfrac{23}{18}\)
\(B=\left(-\dfrac{15}{6}\right):\dfrac{-1}{2}+\dfrac{7}{-12}-\dfrac{1}{3}.\dfrac{-11}{2}=\dfrac{25}{4}\)
\(C=\dfrac{3}{4}.\left(-8\right)-\dfrac{1}{3}.\dfrac{-7}{2}-\dfrac{5}{18}=-\dfrac{46}{9}\)
26 tháng 1 2022
\(A=\dfrac{-19}{18}+\dfrac{4}{9}-\dfrac{2}{3}=\dfrac{-19}{18}+\dfrac{8}{18}-\dfrac{12}{18}=\dfrac{-23}{18}\)
\(B=\dfrac{-5}{2}\cdot\dfrac{-2}{1}-\dfrac{7}{12}+\dfrac{11}{6}=\dfrac{5\cdot12-7+22}{12}=\dfrac{75}{12}=\dfrac{25}{4}\)
17 tháng 4 2023
a. 2/11 + ( -14/11 )
= -12/11
b. 1/4 + ( -3/6 + 4/6 )
= 1/4 + 1/6
= 6/24 + 4/24
= 10/24
= 5/12
NT
Nguyễn Thị Thương Hoài
Giáo viên
VIP
17 tháng 4 2023
a, \(\dfrac{2}{11}\) + [ \(-\dfrac{5}{11}\) - \(\dfrac{9}{11}\)]
= \(\dfrac{2}{11}\) + [ \(-\dfrac{14}{11}\)]
= \(\dfrac{2-14}{11}\)
= \(-\dfrac{12}{11}\)
b, \(\dfrac{1}{4}\) + ( \(-\dfrac{1}{2}\) + \(\dfrac{2}{3}\))
= \(\dfrac{1}{4}\) + ( \(-\dfrac{3}{6}\) + \(\dfrac{4}{6}\))
= \(\dfrac{1}{4}\) + \(\dfrac{1}{6}\)
= \(\dfrac{3}{12}\) + \(\dfrac{2}{12}\)
= \(\dfrac{5}{12}\)
PD
1
\(\dfrac{2^{11}.9^2}{3^5.16^2}\)
= \(\dfrac{2^{11}.3^4}{3^5.2^8}\)
= \(\dfrac{2^3}{3}\)= \(\dfrac{8}{3}\)= 2, (6)