$ 2003^{2002} - 2003^{2001} = 2003^{2001}(2003 - 1) = 2003^{2001} . 2002 = 2003^{2001} . 182 . 11 \vdots 11 $
$ 2003^{2002} - 2003^{2001} = 2003^{2001}(2003 - 1) = 2003^{2001} . 2002 = 2003^{2001} . 182 . 11 \vdots 11 $
1+1+1++1+1+1+1+1+1+1+1+1-11+1+1+1+1+1-1+1+1+1+1+1+1+11+1++1+1-+11-1+1+1+11-1+1+1+1+1+1+1-11+111+1-11+11+1+1+1+11-1+1+11-+1+1=?
Tìm x biết: (11/12+11/276+11/782+..............+11/8900).x=2/3
Tìm x biết: (11/12+11/276+11/782+..............+11/8900).x=2/3
Chứng mình rằng : a) (10' +8): 9 b) (1531 +2001):2 c) (10+5):3 vu9 d(11 +11 +11+. +11 +11):12 e) (7+7+7 +7) 50 (3+3+3 +3+3+3):13 { : = chia hết }
thu gọn các biểu thức sau
a)C=3^14+3^15+3^16+3^17+...+3^n
b)D=3^11+3^14+3^17+3^20+...+3^2021
c) E= -5^2-5^4-5^6-5^8-...-5^1000
d)F=-5^21-5^23-5^25-5^27-...-5^2019
e)M=7^2-7^4+7^6-7^8+...-7^1000
d)N=-12+11^2+11^3-11^4-11^5+...+11^498+11^499
So sánh :
A = \(\frac{9}{11^4}+\frac{5}{11^5}\) và B = \(\frac{5}{11^41}+\frac{9}{11^5}\)
Bài 1: rút gọn các phân số sau:
a) \(\frac{3^{10}.\left(-5\right)^{21}}{\left(-5\right)^{20}.3^{12}}\)
b) \(\frac{-11^5.13^7}{11^5.13^8}\)
c) \(\frac{2^{10}.3^{10}-2^{10}.3^9}{2^9.3^{10}}\)
d) \(\frac{5^{11}.7^{12}+5^{11}.7^{11}}{5^{12}.7^{12}+9.5^{11}.7^{11}}\)
(x-3)+(x-2)+......+10+11=11
(x-3)+(x-2)+......+10+11=11
Tính
a, -6/11: ( 3/5 . 4/11)
b, 7/12+5/12:6-14/30
c, ( 4/5 + 1/2 ): ( 3/13-8/13)
d, ( 2/3 -1/4 +5/11):(5/12+1-7/11)