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8 tháng 7 2021

 0,4√25 \(-\dfrac{3}{3}+\dfrac{2}{3}\)

= 0,4 . 5 - \(\dfrac{1}{3}\)

\(2-\dfrac{1}{3}\)

\(\dfrac{5}{3}\)

8 tháng 7 2021

\(0,4.\sqrt{25}-\dfrac{3}{3}+\dfrac{2}{3}\)

\(0,4.5-1+\dfrac{2}{3}\)

\(2-1+\dfrac{2}{3}\)

= 1 + \(\dfrac{2}{3}\)

\(\dfrac{5}{3}\)

26 tháng 12 2017

A= 1/3 . (4/5 - 1/5 + 1/3)

  = 1/3 . 14/15

  = 14/45.

18 tháng 10 2017

What if I "không thể" (can't)?

a) \(\left(-8,43.25\right).0,4\)

\(=\left(-8,43\right).\left(25.0,4\right)\)

\(=\left(-8,43\right).10\)

\(=-84,3\)

b) \(\dfrac{3}{4}.26\dfrac{1}{5}-\dfrac{3}{4}.44\dfrac{1}{5}\)

\(=\dfrac{3}{4}.\left(26\dfrac{1}{5}-44\dfrac{1}{5}\right)\)

\(=\dfrac{3}{4}.\left(-18\right)\)

\(=-\dfrac{27}{2}\)

c) \(2-1,8:\left(-0,75\right)\)

\(=2-\left(-2,4\right)\)

\(=2+2,4\)

\(=4,4\)

d) \(\left(-3\right)^2.\dfrac{1}{3}-\sqrt{49}+\left(-5\right)^3:\sqrt{25}\)

\(=9.\dfrac{1}{3}-7+\left(-125\right):5\)

\(=3-7-25\)

\(=-29\)

19 tháng 10 2017

\(a,\left(-8,43.25\right).0,4=-210,75.0,4=-84,3\)

\(b,\dfrac{3}{4}.26\dfrac{1}{5}-\dfrac{3}{4}.44\dfrac{1}{5}=\dfrac{3}{4}.26,2-\dfrac{3}{4}.44,2\)

\(=\dfrac{3}{4}.\left(26,2-44,2\right)\)

\(=\dfrac{3}{4}.\left(-18\right)\)

\(=-13,5\)

\(c,2-1,8:\left(0,75\right)=2-2,4\)

\(=-0,4\)

30 tháng 11 2023

\(\sqrt{25}.\left(0,4-1\dfrac{1}{2}\right):\left[\left(-2\right)^3:\dfrac{8}{11}\right]\)

\(=5.\left(\dfrac{2}{5}-\dfrac{3}{2}\right):\left(-8:\dfrac{8}{11}\right)\)

\(=5.\left(-\dfrac{11}{10}\right):\left(-11\right)\)

\(=\dfrac{-11}{2}:\left(-11\right)\)

\(=\dfrac{1}{2}\)

23 tháng 5 2017

a) Vì \(0,\left(3\right)=\dfrac{3-0}{9}=\dfrac{3}{9}=\dfrac{1}{3}\)\(-0,4\left(2\right)=-\dfrac{42-4}{90}=-\dfrac{38}{90}=-\dfrac{19}{45}\) nên:

\(0,\left(3\right)+3\dfrac{1}{3}-0,4\left(2\right)=\dfrac{1}{3}+\dfrac{10}{3}-\dfrac{19}{45}=\dfrac{11}{3}-\dfrac{49}{45}\)

\(=\dfrac{165-19}{45}=\dfrac{146}{45}\)

b) Vì \(0,\left(5\right)=\dfrac{5-0}{9}=\dfrac{5}{9}\)\(0,\left(2\right)=\dfrac{2-0}{9}=\dfrac{2}{9}\) nên:

\(\left[0,\left(5\right).0,\left(2\right)\right]:\left(3\dfrac{1}{3}:\dfrac{33}{25}\right)=\left(\dfrac{5}{9}.\dfrac{2}{9}\right):\left(\dfrac{10}{3}.\dfrac{25}{33}\right)=\dfrac{10}{81}:\left(\dfrac{110.25}{33}\right)\)

\(=\dfrac{10}{81}.\dfrac{33}{110.25}=\dfrac{3}{81.25}=\dfrac{1}{27.25}=\dfrac{1}{675}\)

14 tháng 7 2017

cứ phan tích cho hết đi là đc 9^6. 9^10 = (3^2)^6...................

tự làm đi

14 tháng 7 2017

1. Tính:

a. \(\dfrac{9^6.9^{10}}{3^{32}}=\dfrac{\left(3^2\right)^6.\left(3^2\right)^{10}}{3^{32}}=\dfrac{3^{12}.3^{20}}{3^{32}}=\dfrac{3^{32}}{3^{32}}=1\)

b. \(\dfrac{25^8.25^{10}}{5^{34}}=\dfrac{\left(5^2\right)^8.\left(5^2\right)^{10}}{5^{34}}=\dfrac{5^{16}.5^{20}}{5^{34}}=\dfrac{5^{36}}{5^{34}}=5^{36}:5^{34}=5^2=25\)

c. \(\dfrac{7^{56}}{49^9.49^{20}}=\dfrac{7^{56}}{\left(7^2\right)^9.\left(7^2\right)^{20}}=\dfrac{7^{56}}{7^{18}.7^{40}}=\dfrac{7^{56}}{7^{58}}=7^{56}:7^{58}=\dfrac{7^{56}}{7^{56}.7^2}=\dfrac{1}{7^2}=\dfrac{1}{49}\)

d. \(\dfrac{4^2.4^3}{2^{10}}=\dfrac{\left(2^2\right)^2.\left(2^2\right)^3}{2^{10}}=\dfrac{2^4.3^6}{2^{10}}=\dfrac{2^{10}}{2^{10}}=1\)

e. \(\dfrac{2^{17}.25^5}{10^8.8^3}=\dfrac{2^{17}.\left(5^2\right)^5}{\left(2.5\right)^8.\left(2^3\right)^3}=\dfrac{2^{17}.5^{10}}{2^8.5^8.2^9}=\dfrac{2^{17}.5^{10}}{2^{17}.5^8}=\dfrac{5^{10}}{5^8}=5^{10}:5^8=5^2=25\)

f. \(\dfrac{3^{15}.25^4}{15^6.27^3}=\dfrac{3^{15}.\left(5^2\right)^4}{\left(3.5\right)^6.\left(3^3\right)^3}=\dfrac{3^{15}.5^8}{5^6.3^6.3^9}=\dfrac{3^{15}.5^8}{5^6.3^6.3^9}=\dfrac{5^8}{5^6}=5^8:5^6=5^2=25\)

2. Tính lũy thừa âm:

a. 3-2 = \(\dfrac{1}{3^2}\) = \(\dfrac{1}{9}\)

b. 2-3 = \(\dfrac{1}{2^3}\) = \(\dfrac{1}{8}\)

3. Tính :

a. \(\dfrac{\left(0,8\right)^4}{\left(0,4\right)^3}=\dfrac{\left(0,8\right)^3.0,8}{\left(0,4\right)^3}=\left(\dfrac{0,8}{0,4}\right)^3.0,8=2^3.0,8=8.0,8=6,4\)

b. \(\dfrac{\left(0,8\right)^3}{\left(0,4\right)^4}=\dfrac{\left(0,8\right)^3}{\left(0,4\right)^3:0,4}=\left(\dfrac{0,8}{0,4}\right)^3.\dfrac{1}{0,4}=2^3.2,5=8.2,5=20\)

c. \(\dfrac{\left(0,6\right)^5}{\left(0,2\right)^6}=\dfrac{\left(0,6\right)^5}{\left(0,2\right)^5.\left(0,2\right)}=\left(\dfrac{\left(0,6\right)}{\left(0,2\right)}\right)^5.\dfrac{1}{0,2}=3^5.\dfrac{1}{0,2}=\dfrac{3^5}{0,2}=1215\)

P/s : Chế Mai Ngọc Trâm thử tham khảo thử đi!!!

21 tháng 9 2017

\(A=\dfrac{\sqrt{\dfrac{9}{4}-3^{-1}+2018^0}}{25\%+1\dfrac{1}{4}-1,3}-\dfrac{\left(-\dfrac{1}{2}\right)^2-\sqrt{\dfrac{4}{9}}+0,4}{0,6-\dfrac{2}{3}.\left(-\dfrac{1}{4}-\dfrac{1}{2}\right)}\)

\(A=\dfrac{\sqrt{\dfrac{9}{4}-\dfrac{1}{3}+1}}{\dfrac{1}{4}+\dfrac{5}{4}-\dfrac{13}{10}}-\dfrac{\dfrac{1}{4}-\dfrac{2}{3}+\dfrac{2}{5}}{\dfrac{3}{5}-\dfrac{2}{3}\left(-\dfrac{1}{4}-\dfrac{1}{2}\right)}\)

\(A=\dfrac{\sqrt{\dfrac{35}{12}}}{\dfrac{1}{5}}-\dfrac{-\dfrac{1}{60}}{\dfrac{11}{10}}\)

\(A=\dfrac{5\sqrt{105}}{6}+\dfrac{11}{66}\)

\(A=\dfrac{55\sqrt{105}}{66}+\dfrac{11}{66}\)

\(A=\dfrac{55\sqrt{105}+11}{66}\)

31 tháng 8 2023

a,(0,8)5:(0,4)6 = (\(\dfrac{0,8}{0,4}\))5 : 0,4 = 25:0,4 = 80

b, (-25)7: 323 - \(\dfrac{6103515625}{3276}\) = - 186264,5149

c, \(\dfrac{4^2.4^3}{2^{10}}\) = \(\dfrac{4^5}{2^{10}}\) = \(\dfrac{2^{10}}{2^{10}}\) = 1

d, \(\dfrac{9^5.5^7}{45^7}\) = \(\dfrac{9^5.5^7}{9^7.5^7}\) = \(\dfrac{1}{81}\)

31 tháng 8 2023

\(\dfrac{\left(0.8\right)^5}{\left(0.4\right)^4}\)=\(\dfrac{\left(2.0,4\right)^5}{\left(0.4^4\right)}\)=\(\dfrac{2^5.\left(0.4\right)^5}{\left(0,4\right)^4}\)=\(2^5\).\(\left(0.4\right)^1\)=12,8

b)câu b không biết có sai đề không nhưng đáp án câu b là -186264,5149

c) \(\dfrac{4^2.4^3}{2^{10}}\)=\(\dfrac{4^5}{\left(2^2\right)^5}\)=\(\dfrac{4^5}{4^5}\)=1

d)\(\dfrac{9^5.5^7}{45^7}\)=\(\dfrac{9^5.5^5.5^2}{45^7}\)=\(\dfrac{45^5.5^2}{45^7}\)=\(\dfrac{5^2}{45^2}\)=\(\left(\dfrac{5}{45}\right)^2\)=\(\left(\dfrac{1}{9}\right)^2\)=\(\dfrac{1}{81}\)