4 6 .   9 5 +   6 9 .   120 8 4 .   3 12 − 6 11 = 2 2 6 . 3 2 5 + 2 9 .3 9 .2 3 .3.5 2 3 4 .3 12 − 2 11 .3 11 = 2 12 .3 10 + 2 12 .3 10 .5 2 12 .3 12 − 2 11 .3 11 = 2 12 .3 10 1 + 5 2 11 .3 11 2.3 − 1 = 2.6 3.5 = 4 5

a: \(3^2\cdot\frac{1}{243}\cdot81^2\cdot\frac{1}{3^2}\)

\(=\frac{3^2}{3^5}\cdot\frac{3^8}{3^2}=\frac{1}{3^3}\cdot3^6=3^3=27\)

b: \(4^6\cdot256^2\cdot2^4=\left(2^2\right)^6\cdot\left(2^8\right)^2\cdot2^4\)

\(=2^{12}\cdot2^{16}\cdot2^4=2^{12}\cdot2^{20}=2^{32}\)

c: \(4^6\cdot9^5+6^9\cdot120\)

\(=2^{12}\cdot3^{10}+2^9\cdot3^9\cdot2^3\cdot3\cdot5\)

\(=2^{12}\cdot3^{10}+2^{12}\cdot3^{10}\cdot5\)

\(=2^{12}\cdot3^{10}\cdot6=2^{13}\cdot3^{11}\)

Ta có \(8^4\cdot3^{12}-6^{11}\)

\(=2^{12}\cdot3^{12}-2^{11}\cdot3^{11}\)

\(=2^{11}\cdot3^{11}\left(2\cdot3-1\right)=2^{11}\cdot3^{11}\cdot5\)

Ta có: \(A=\frac{4^6\cdot9^5+6^9\cdot120}{8^4\cdot3^{12}-6^{11}}\)

\(=\frac{2^{13}\cdot3^{11}}{2^{11}\cdot3^{11}\cdot5}=\frac{2^2}{5}=\frac45\)

d: \(4^2\cdot25^2+32\cdot125\)

\(=2^4\cdot5^4+2^5\cdot5^3\)

\(=2^4\cdot5^3\left(5+2\right)=2^4\cdot5^3\cdot7\)

\(B=\frac{4^2\cdot25^2+32\cdot125}{2^3\cdot5^2}\)

\(=\frac{2^4\cdot5^3\cdot7}{2^3\cdot5^2}=2\cdot5\cdot7=70\)

b:\(1+2+3+...+n=\dfrac{n\left(n+1\right)}{2}\)

c: \(1+3+5+...+37\)

Số số hạng là:

(37-1):2+1=19(số)

Tổng là: \(\dfrac{38\cdot19}{2}=19\cdot19=361\)

Sửa đề: 4^10

\(\dfrac{4^{10}\cdot9^3-6^9\cdot120}{8^4\cdot3^{12}+6^{11}}\)

\(=\dfrac{2^{20}\cdot3^6-2^{12}\cdot3^{10}\cdot5}{2^{12}\cdot3^{12}+2^{11}\cdot3^{11}}\)

\(=\dfrac{2^{12}\cdot3^6\left(2^8-3^4\cdot5\right)}{2^{11}\cdot3^{11}\left(2\cdot3+1\right)}=\dfrac{2}{3^5}\cdot\dfrac{-149}{7}=\dfrac{-298}{3^5\cdot7}\)

a)   X   +  2936  =  4517

                     X   =  4517 - 2936

                     X   =       1581 

b)   5   x   X   =   2435

        X   =   2435  :  5

        X   =        487

Đáp án B

A = 4 5 17 - 3 4 5 + 8 15 29 - 3 5 17 - 6 14 29 A = 4 5 17 - 3 4 5 + 8 15 29 - 3 5 17 + 6 14 29 A = 4 5 17 - 3 5 17 + 8 15 29 + 6 14 29 - 3 4 5 A = 4 - 3 + 5 17 - 5 17 + 8 + 6 + 15 29 + 14 29 - 3 4 5 A =   1 + 0 + 14 + 1 - 3 4 5 A =   16 - 3 4 5 A =   15 5 5 - 3 4 5 = 12 1 5

Đáp án B

A = 4 5 17 - 3 4 5 + 8 15 29 - 3 5 17 - 6 14 29 A = 4 5 17 - 3 4 5 + 8 15 29 - 3 5 17 + 6 14 29 A = 4 5 17 - 3 5 17 + 8 15 29 + 6 14 29 - 3 4 5 A = 4 - 3 + 5 17 - 5 17 + 8 + 6 + 15 29 + 14 29 - 3 4 5 A =   1 + 0 + 14 + 1 - 3 4 5 A =   16 - 3 4 5 A =   15 5 5 - 3 4 5 = 12 1 5

1.a) 168 - 300 : 15

= 168 - 20 = 148

b) 103 - 13 = 90

2. 87 - (321 - x) = 75 : 5 = 15

321 - x = 87 - 15

321 - x = 72

x = 321 - 72 = 249

nhanh đi mình cần gấp 

giúp mình với

kho qua khong giai duoc