1. So sánh các tích sau hợp lý nhất:

P = \(\left(-\dfrac{21}{34}\right)\)\(\left(-\dfrac{13}{27}\right)\)\(\dfrac{7}{9}\)

Q = \(\left(-0,5\right)\)\(\dfrac{3}{19}\)\(\left(-\dfrac{24}{41}\right)\)\(\left(\dfrac{8}{31}\right)\)

M = \(\dfrac{-6}{17}.\dfrac{-5}{17}.\) ... \(.\dfrac{5}{17}.\dfrac{6}{17}\)

2. Tính hợp lý:

A = \(\left(-\dfrac{3}{11}\right).\dfrac{7}{10}.\dfrac{11}{-13}.\left(-20\right)\)

B = \(\dfrac{-4}{9}:\dfrac{2}{13}+\left(\dfrac{-5}{18}\right).\dfrac{2}{13}\)

C = \(\left(2\dfrac{1}{15}.\dfrac{3}{19}.\dfrac{2}{31}\right):\left(-\dfrac{5}{19}\right)\)

Help me!

4.Tinh

a,\(\frac{4^{30}.3^{43}}{2^{53}.27^{15}}\)

b,\(\frac{\left(-27\right)^{10}.16^{25}}{6^{30}.\left(-32\right)^{15}}\)

c,\(\left(\frac{-2}{17}\right)^3.\left(\frac{-17}{35}\right)^3.\left(\frac{35}{3}\right)^3\)

d,\(\frac{3^{31}.25^8-9^{14}.5^{15}}{27^{10}.5^{15}-3^{30}.5^{17}}\)

e,\(2^{^2}+4^{^2}+6^2+..........+24^2\left(1^2+2^2+3^2+....+12^2=650\right)\)

thực hiện phép tính

a.\(\frac{5}{7}.1^9_{13}-\frac{5}{7}.\frac{9}{13}\)

b.\(\frac{11}{24}-\frac{5}{41}+\frac{13}{24}+0,5-\frac{36}{41}\)

c.\(\frac{-4}{13}.\frac{5}{17}+\frac{-12}{13}.\frac{4}{17}+\frac{4}{13}\)

d.\(\left(\frac{4}{3}-\frac{3}{2}\right)^2-2.\left|\frac{-1}{9}\right|+\left(\frac{-5}{18}\right)\)

e.\(\left(\frac{-3}{4}+\frac{2}{3}\right):\frac{5}{11}+\left(\frac{-1}{4}+\frac{1}{3}\right):\frac{5}{11}\)

1Tính \(\left(\frac{-7}{11}\right)^{38}\)* \(\left(\frac{-11}{7}\right)^{39}\)

2 Tìm x biết

b)\(\frac{x+1}{8}=\frac{8}{x+1}\)           c) \(\left(1,78^2^{\cdot x-2}-1,78^x\right)\div1,78^x=0\)    d) \(|2x+1|+|x|=x\)

3) Chứng minh rằng 

a) \(27^8-3^{21}\)chia hết cho 26              b)  \(5^{19}+5^{18}+5^{17}\)chia hết cho 31    

c) \(81^7-27^9-9^{13}\)chia hết cho 45      d)\(8^{12}-2^{^{33}}-2^{30}\)chia hết cho 55

\(Chobaitoansau:\)

\(M=\dfrac{75-\dfrac{6}{13}+\dfrac{3}{17}-\dfrac{3}{19}}{257-\dfrac{22}{13}+\dfrac{11}{17}-\dfrac{11}{19}}\)

\(2N=\dfrac{1,1+0,19-1,32}{2,06+0,54}-\left(\dfrac{1}{2}+\dfrac{1}{3}\right):2\)

\(P=\left(5\dfrac{7}{8}-2\dfrac{1}{4}-0,5\right):2\dfrac{23}{26}\)

a, Tính M, P

b, Tìm x∈ Z, biết N < x < P

Tính giá trị biểu thức:

a,\(A=\dfrac{3^6.45^4-15^{13}.5^{-9}}{27^4.25^3+45^6}\)

b,\(^{B=\dfrac{\left[\left(6,2:0,31-\dfrac{5}{6}.0,9\right).0,2+0,15\right]:12}{\left(2+1\dfrac{4}{11}.0,22:0,1\right).\dfrac{1}{33}}}\)

c,\(C=\dfrac{\left(\dfrac{3}{4}\right)^3+\left(\dfrac{5}{4}\right)^3-5\left(\dfrac{4}{3}-\dfrac{5}{4}\right)}{\left(\dfrac{-5}{8}\right)^2+\left(\dfrac{2}{3}\right)^2-\dfrac{5}{6}}\)

d,\(D=\left[\dfrac{\dfrac{17}{24}.9\dfrac{1}{2}-3\dfrac{1}{4}.\dfrac{17}{24}}{3\dfrac{1}{2}.2\dfrac{13}{36}+2\dfrac{13}{36}.2\dfrac{3}{4}}-\dfrac{1}{5}\right]^{-2}\)

Giúp em với chị @Nhã Doanh ới!!!!!!!!

Mai em phải đi thi rồi :((