3*2016+9*2016+20*2016+28*2016+38*2016+2016+2016
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Những câu hỏi liên quan
TT
1
29 tháng 6 2016
\(2^{2016}+4^{2016}+6^{2016}+...+20^{2016}=2^{2016}\left(1+2^{2016}+3^{2016}+...+10^{2016}\right)\)
Do đó:
\(A=\frac{1^{2016}+2^{2016}+3^{2016}+...+10^{2016}}{2^{2016}+4^{2016}+6^{2016}+...+20^{2016}}=\frac{1}{2^{2016}}\)
QP
0
2 tháng 9 2017
\(P=\dfrac{3^{2016}-6^{2016}+9^{2016}-12^{2016}+15^{2016}-18^{2016}}{-1^{2016}+2^{2016}-3^{2016}+4^{2016}-5^{2016}+6^{2016}}\)
\(=\dfrac{\left(3^{2016}-6^{2016}\right)+\left(9^{2016}-12^{2016}\right)+\left(15^{2016}-18^{2016}\right)}{-1^{2016}+2^{2016}-3^{2016}+4^{2016}-5^{2016}+6^{2016}}\)
\(=\dfrac{3^{2016}\left(1-2^{2016}\right)+3^{2016}\left(3^{2016}-4^{2016}\right)+3^{2016}\left(5^{2016}-6^{2016}\right)}{-1^{2016}+2^{2016}-3^{2016}+4^{2016}-5^{2016}+6^{2016}}\)
\(=\dfrac{3^{2016}\left(1-2^{2016}+3^{2016}-4^{2016}+5^{2016}-6^{2016}\right)}{-\left(1^{2016}-2^{2016}+3^{2016}-4^{2016}+5^{2016}-6^{2016}\right)}\)
\(=-3^{2016}\).
Vậy \(P=-3^{2016}\)
2 tháng 9 2017
\(P=\frac{3^{2016}-6^{2016}+9^{2016}-12^{2016}+15^{2016}-18^{2016}}{-1^{2016}+2^{2016}-3^{2016}+4^{2016}-5^{2016}+6^{2016}}\)
\(=\frac{\left(1.3\right)^{2016}-\left(2.3\right)^{2016}+\left(3.3\right)^{2016}-\left(4.3\right)^{2016}+\left(5.3\right)^{2016}-\left(6.3\right)^{2016}}{-1^{2016}+2^{2016}-3^{2016}+4^{2016}-5^{2016}+6^{2016}}\)
\(=\frac{1^{2016}.3^{2016}-2^{2016}.3^{2016}+3^{2016}.3^{2016}-4^{2016}.3^{2016}+5^{2016}.3^{2016}-6^{2016}.3^{2016}}{-1^{2016}+2^{2016}-3^{2016}+4^{2016}-5^{2016}+6^{2016}}\)
\(=\frac{-3^{2016}\left(-1^{2016}+2^{2016}-3^{2016}+4^{2016}-5^{2016}+6^{2016}\right)}{-1^{2016}+2^{2016}-3^{2016}+4^{2016}-5^{2016}+6^{2016}}\)
\(=-3^{2016}\)
1 tháng 11 2018
Giả sử \(\dfrac{3^{2016}+6^{2016}}{7^{2016}+14^{2016}}=\dfrac{9^{2016}}{21^{2016}}\)
=> \(3^{2016}\cdot21^{2016}+6^{2016}\cdot21^{2016}=7^{2016}\cdot9^{2016}+14^{2016}\cdot9^{2016}\)
=\(63^{2016}+126^{2016}=63^{2016}+126^{2016}\) (giả sử đúng)
Vậy \(\dfrac{3^{2016}+6^{2016}}{7^{2016}+14^{2016}}=\dfrac{9^{2016}}{21^{2016}}\)
10 tháng 12 2016
a, - { -(2016 +2015) - [ - (2016 - 2015) - (2016+2015) ] }
= -{-(2016+2015)-[-0-0]}
= -{-4031-0-0}
=-4031
#)Giải :
3 x 2016 + 9 x 2016 + 20 x 2016 + 28 x 2016 + 38 x 2016 + 2016 + 2016
= ( 3 + 9 + 20 + 28 + 38 + 1 + 1 ) x 2016
= 100 x 2016
= 201600
3*2016+9*2016+20*2016+28*2016+38*2016+2016+2016
= 2016 x (3 + 9 + 20 + 28 + 38 + 1 +1)
= 2016 x (12 + 20 + 28 + 38 + 2)
= 2016 x (12 + 28 + 38 + 2 + 20)
= 2016 x ( 40 + 40 + 20)
= 2016 x 100
= 201600