\(\frac{2^9.3^{10}+2^8.3^7.135}{2^{10}.3^{10}+2^9.3^{11}}\)

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25 tháng 7 2016

Ta có :

\(\frac{2^9.3^{10}+2^8.3^7.135}{2^{10}.3^{10}+2^9.3^{11}}\)\(=\frac{2^9.3^{10}+2^8.3^7.3^3.5}{2^{10}.3^{10}+2^9.3^{11}}=\frac{2^9.3^{10}+2^8.3^{10}.5}{2^{10}.3^{10}+2^9.3^{11}}=\frac{2^8.3^{10}.\left(2+5\right)}{2^8.3^{10}.\left(2^2+2.3\right)}=\frac{7}{10}\)

Ủng hộ mk nha !!!! ***

25 tháng 7 2016

\(=\frac{2^9.3^{10}+2^8.3^7.3^3.5}{2^{10}.3^{10}+2^9.3^{11}}=\frac{2^8.3^{10}.\left(2+5\right)}{2^8.3^{10}.\left(2^2+2.3\right)}=\frac{7}{10}\)

23 tháng 12 2016

a là âm 2.671428571

5 tháng 4 2017

a, \(-\frac{187}{70}\)

b,\(\frac{27}{70}\)

c,\(\frac{53}{14}\)

d,\(\frac{27}{4}\)

e,1

f,\(\frac{23}{4}\)

g,-1

i,6

k,315

l,\(\frac{9}{2}\)
 

10 tháng 7 2016

\(\frac{2^8\cdot3^{21}+2^{18}\cdot3^6}{2^{10}\cdot2^{21}+2^{20}\cdot3^6}=\frac{2^8\cdot3^6\left(3^{27}+2^{10}\right)}{2^{20}\left(2^{11}+3^6\right)}=\frac{3^6\left(3^{27}+2^{10}\right)}{2^{12}\left(2^{11}+3^6\right)}\)

27 tháng 8 2020

a.\(\frac{11^4.11^5}{11^4-11^5}:\frac{9^8.3-9^9}{9^8.5-9^8.7}:\frac{10^5-10^5.3}{10^5.11}\)

=\(\frac{11^4.11^5}{11^4-11^4.11}:\frac{9^8.3-9^8.9}{9^8.5-9^8.7}:\frac{10^5-10^5.3}{10^5.11}\)
=\(\frac{11^4.11^5}{11^4.\left(1-11\right)}:\frac{9^8.\left(3-9\right)}{9^8.\left(5-7\right)}:\frac{10^5.\left(1-3\right)}{10^5.11} \)
=\(\frac{11^4.11^5}{11^4.\left(-10\right)}:\frac{9^8.\left(-6\right)}{9^8.\left(-2\right)}:\frac{10^5.\left(-2\right)}{10^5.11}\)
=\(\frac{11^5}{-10}:3:\frac{-2}{11}\)
=\(\frac{11^5}{-10}.\frac{1}{3}.\frac{-11}{2}\)

Chiều mình làm tiếp cho nha!👋

26 tháng 6 2019

\(\frac{-2}{3}-\left(\frac{-2}{5}\right)-\frac{7}{10}\)

\(=\frac{-10}{15}-\frac{-6}{15}-\frac{7}{10}\)

\(=\frac{-4}{15}-\frac{7}{10}\)

\(=\frac{-4}{15}+\frac{\left(-7\right)}{10}\)

\(=\frac{-40}{150}+\frac{-105}{150}\)

\(=\frac{-29}{30}\)

26 tháng 6 2019

\(\left[\frac{11}{24}:\frac{55}{36}\right]\cdot\frac{10}{3}\)

\(=\left[\frac{11}{24}\cdot\frac{36}{55}\right]\cdot\frac{10}{3}\)

\(=\left[\frac{1}{2}\cdot\frac{3}{5}\right]\cdot\frac{10}{3}\)

\(=\frac{3}{10}\cdot\frac{10}{3}=1\)

3 tháng 9 2019

a. \(\frac{15^3.\left(-5\right)^4}{\left(-3\right)^5.5^6}=\frac{3^3.5^3.5^4}{\left(-3\right)^5.5^6}\)

\(=\frac{3^3.5^7}{\left(-3\right)^5.5^6}=\frac{5}{-9}\)

b. \(\frac{6^3.2^5.\left(-3\right)^2}{\left(-2\right)^9.3^7}=\frac{2^3.3^3.2^5.3^2}{\left(-2\right)^9.3^7}\)

\(=\frac{2^8.3^5}{\left(-2\right)^9.3^7}=\frac{1}{\left(-2\right).3^2}=-\frac{1}{18}\)

5 tháng 7 2016

a) \(9\cdot3^3\cdot\frac{1}{81}\cdot3^2\)

\(=\frac{3^2\cdot3^3\cdot3^2}{3^4}\)

\(=3^3=27\)

b) \(4\cdot2^5:\left(2^3\cdot\frac{1}{16}\right)\)

\(=\frac{2^2\cdot2^2\cdot2^4}{2^3}\)

\(=2^5=32\)

c) \(3^2\cdot2^5\cdot\left(\frac{2}{3}\right)^2\)

\(=\frac{3^2\cdot2^5\cdot2^4}{3^2}\)

\(=2^9=512\)

d) \(\left(\frac{1}{3}\right)^2\cdot\frac{1}{3}\cdot9^2\)

\(=\frac{1^2\cdot1\cdot3^4}{3^2}\)

\(=3^2=9\)

18 tháng 7 2019

\(\frac{3^{17}\cdot81^{11}}{27^{10}\cdot9^{15}}\)

\(=\frac{3^{17}\cdot\left(3^4\right)^{11}}{\left(3^3\right)^{10}\cdot\left(3^2\right)^{15}}\)

\(=\frac{3^{17}\cdot3^{44}}{3^{30}\cdot3^{30}}\)

\(=\frac{3^{61}}{3^{60}}\)

\(=3\)

18 tháng 7 2019

\(\frac{9^2\cdot2^{11}}{16^2\cdot6^3}\)

\(=\frac{\left(3^2\right)^2\cdot2^{11}}{\left(2^4\right)^2\cdot\left(2\cdot3\right)^3}\)

\(=\frac{3^4\cdot2^{11}}{2^8\cdot2^3\cdot3^3}\)

\(=\frac{3^4\cdot2^{11}}{2^{11}\cdot3^3}\)

\(=\frac{3^4}{3^3}\)

\(=3\)