(5^3015 - 5^3013) : 5^3013
5 mũ 3015 - 5 mũ 3013 : 5 mũ 3013
\(5^{3015}-5^{2013}\div5^{2013}\)
\(=5^{3015}-1\)
\(5^{3015}-5^{3013}:5^{3013}\)
\(5^{3015}-1\)
(53015 -53013 ):53013
(53015 -53013 ):53013
Sử dụng tính chất a.b +(-) a.c = a.(b+c)
1. (15 . 13 - 21) : 2 + 108
2. 4^2 . 444446 - 4^3 . 111111
3. (5^3015 - 5^3013) : 5^3013
4. 125 - [ 65 - (7 - 3)^3 ]
5. 123 . 456456 - 228. 246246
6. (548 . 13 + 1096) . 43 : 15 . 86
7. (3^13 : 99 - 15 . 3^14) : (3^17 : 3^2)
Cảm ơn !
1: =(195-21):2+108=174:2+108=87+108=195
2: \(=16\left(444446-444444\right)=16\cdot2=32\)
3: \(=\dfrac{5^{3015}}{5^{3013}}-\dfrac{5^{3013}}{5^{3013}}=25-1=24\)
4: \(=125-\left[65-4^3\right]=125-1=124\)
6: \(=8210\cdot43:15\cdot86=2024038.667\)
tinh tong 2/ 1 * 3 + 2/ 3 * 5 + ... +2 / 3013 * 2015
A=-1-2+3+4-5-6+7+8-9-10+11+12-.. ..-3013-2014+2015+2016
A=(0-1-2+3)+(4-5-6+7)+...+((2012-2013-2014+2015)+2016
A=0+0+...+0
A=2016
Vậy A=2016
nhé Bạn\(\frac{2014\cdot2015-1}{3013\cdot2015+2014}\)
ê câu ơi
sai đề kìa
phải là 3013->2013
2013 mình nhầm
\(\frac{2014.2015-1}{2013.2015+2014}=\frac{2014.2015-1}{\left(2014-1\right)+2014}\)
\(=\frac{2014.2015-1}{2014.2015-2015+2014}=\frac{2014.2015-1}{2014.2015-1}=1\)
1)5^3×76+125×25-125×3013^0
2)(-76+153)-(-176+153)
3)574-(6x+75)=445
4)/x-3/=2
Tìm các số có 4 cs dạng 12ab chia hết cho2,3,5 dư 2
Giúp mk nha
A=1/2^2+1/3^2+...+1/3013^2
Chung minh A<3/4
Ta có: A = \(\frac{1}{2^2}+\frac{1}{3^2}+...+\frac{1}{3013^2}\)
A < \(\frac{1}{1.2}+\frac{1}{2.3}+...+\frac{1}{3012.3013}\)
A < \(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{3012}-\frac{1}{3013}\)
A < \(1-\frac{1}{3013}\)
A < \(\frac{3012}{3013}\)< 3/4