4+14+24+34+44+54+64+74+84+94+100=590

4 + 14 + 24 + 34 + 44 + 54 + 64 + 74 + 84 + 94 + 100 = 590

4 + 14 + 34 + 44 + 54 + 64 + 74 + 84 + 94+ 100 =590

a: \(A=2^{100}-2^{99}+2^{98}-2^{97}+...+2^2-2\)

=>\(2A=2^{101}-2^{100}+2^{99}-2^{98}+...+2^3-2^2\)

=>\(2A+A=2^{101}-2^{100}+2^{99}-2^{98}+...+2^3-2^2+2^{100}-2^{99}+...+2^2-2\)

=>\(3A=2^{101}-2\)

=>\(A=\dfrac{2^{101}-2}{3}\)

b: Sửa đề: \(A=\dfrac{2\cdot8^4\cdot27^2+4\cdot6^9}{2^7\cdot6^7+2^7\cdot40\cdot9^4}\)

\(A=\dfrac{2\cdot2^{12}\cdot3^6+2^2\cdot2^9\cdot3^9}{2^7\cdot2^7\cdot3^7+2^7\cdot2^3\cdot5\cdot3^8}\)

\(=\dfrac{2^{11}\cdot3^6\left(2^3+3^3\right)}{2^{10}\cdot3^7\left(2^4+5\cdot3\right)}\)

\(=\dfrac{2}{3}\cdot\dfrac{4+27}{16+15}=\dfrac{2}{3}\)

c: \(B=\dfrac{4^5\cdot9^4-2\cdot6^4}{2^{10}\cdot3^8+6^8\cdot20}\)

\(=\dfrac{2^{10}\cdot3^8-2\cdot2^4\cdot3^4}{2^{10}\cdot3^8+2^8\cdot2^2\cdot5\cdot3^8}\)

\(=\dfrac{2^5\cdot3^4\left(2^5\cdot3^4-1\right)}{2^{10}\cdot3^8\left(1+5\right)}=\dfrac{1}{2^5\cdot3^4}\cdot\dfrac{32\cdot81-1}{6}\)

\(=\dfrac{2591}{2^6\cdot3^5}\)

help

 câu này bó quá ... ko thể giải được

Bài làm

(4x - 124) - 316 = 144

 4x - 124            = 144 + 316

 4x - 124            = 460

 4x                     = 460 - 124 

 4x                     = 336

   x                     = 336 : 4

   x                     = 84

Vậy x = 84

(4x - 124) - 316 = 144

=> 4x - 124 = 460

=> 4x = 584

=> x = 146

4/5 + 3/15 = 1

2/3 + 32/24 = 2

5/6 + 15/18 = 5/3

k nhé:))

\(\frac{4}{5}+\frac{3}{15}=\frac{4}{5}+\frac{1}{5}=\frac{4+1}{5}=\frac{5}{5}=1\)

\(\frac{2}{3}+\frac{32}{24}=\frac{2}{3}+\frac{4}{3}=\frac{2+4}{3}=\frac{6}{3}=2\)

\(\frac{5}{6}+\frac{15}{18}=\frac{5}{6}+\frac{5}{6}=\frac{5+5}{6}=\frac{10}{6}\)

                 HT

2+2+2+2+2+2+2+2+2+2+2+..........+2 (235 số 2)=2.235=470

4+4+4+4+4+4+4+4+4+4+44+4=4.11+44=44.2=88

6+66+666+6666+66666=6+6.11+6.111+6.1111+6.11111=6.(1+11+111+1111+11111)=6.12345=74070

=2*235=470

4*12=48

6*1239=74394

2+2+2+2+2+2+2+2+2+2+2+..........+2 (235 số 2)=470

4+4+4+4+4+4+4+4+4+4+44+4=88

6+66+666+6666+66666=74070

B= -3/(-3)^5 . 4 .2^4

B= 1/3^4 . 2^2 . 2^4

B= 2^6/3^4

D

D?

D