tính nhanh D=2009^(1000-1^3)(1000-2^3)...(1000-15^3)
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Tính nhanh
(1000-1^3).(1000-2^3).(1000-3^3). ... .(1000-15^3)
=(1000-1^3).(1000-2^3).(1000-3^3)......(1000-10^3)....(1000-15^3)
=(1000-1^33).(1000-2^3).(1000-33).......0..........(1000-15^3) =0
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\(\left(1000-1^3\right)\left(1000-2^3\right)\left(1000-3^3\right)...\left(1000-15^3\right)\)
\(=\left(1000-1^3\right)\left(1000-2^3\right)...\left(1000-10^3\right)...\left(1000-15^3\right)\)
\(=\left(1000-1^3\right)\left(1000-2^3\right)...\cdot0\cdot...\left(1000-15^3\right)\)
\(=0\)
tính:
a)\(\left(1000-1^3\right).\left(1000-2^3\right).\left(1000-3^3\right).....\left(1000-50^3\right)\)
b)\(\frac{14^{16}.21^{32}.35^{48}}{10^{16}.16^{32}.7^{96}}\)
c)\(D=2009^{\left(1000-1^3\right)\left(1000-2^3\right)...\left(1000-15^3\right)}\)
Tính nhanh:
a) (1000-1)3. (1000-2)3..........(1000-15)3
b) A= 2018(1000-1)^3 . (1000-2)^3..........(1000-100)^3
giups Mik vs nhé!!
Tính nhanh:
(1000 - 13 ) . (1000 - 23) . (1000 - 33) . ... . (1000 - 153)
\(\left(1000-1^3\right)\left(1000-2^3\right)\left(1000-3^3\right)...\left(1000-15^3\right)\)
\(=\left(1000-1^3\right)\left(1000-2^3\right)...\left(1000-10^3\right)....\left(1000-15^3\right)\)
\(=\left(1000-1^3\right)\left(1000-2^3\right)...\left(1000-1000\right)....\left(1000-15^3\right)\)
\(=\left(1000-1^3\right)\left(1000-2^3\right)....0.....\left(1000-15^3\right)\)
\(=0\)
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\(\left(1000-1^3\right)\left(1000-2^3\right)\left(1000-3^3\right).....\left(1000-15^3\right)\)
\(=\left(1000-1^3\right)\left(1000-2^3\right)\left(1000-3^3\right)....\left(1000-15^3\right)\left(1000-10^3\right)\)\(=A.\left(1000-10^3\right)\)
\(=A.0=0\)
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Theo quy luật của dãy số ta có thừa số :
\(\left(1000-10^3\right)=\left(1000-1000\right)=0\)
\(\Rightarrow\left(1000-1^3\right)\left(1000-2^3\right)...\left(1000-10^3\right)...\left(1000-15\right)=0\)
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Tính nhanh A = (1000-1^3).(1000-2^3).(1000-3^3).................(1000-50^3)
Tính nhanh tổng sau:(1000-1^3).(1000-2^3).(1000-3^3)...........(1000-55^3)
dap an bang 0 ma minh khong biet cach trinh bay
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(1000-1^3).(1000-2^3).(1000-3^3)...........(1000-55^3)
=(1000-1^3).(1000-2^3).(1000-3^3).......(1000-10^3)........(1000-55^3)
=(1000-1^3).(1000-2^3).(1000-3^3).......0........(1000-55^3)
=0
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Tính nhanh:
A=(1000-1^3).(1000-2^3)..........(1000-2010^3)
A = (1000-1^3) . (1000 - 2^3).........(1000 - 2010^3)
A = (1000 - 1^3)........(1000-10^3).........(1000 - 2010^3)
A = (1000 - 1^3)........... 0 ............. (1000 - 2010^3)
A = 0
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A = ( 1000 - 1^3) .....(1000 - 10^3) ....
= (1000 - 1 ^3 )....(1000 - 1000)....
= (1000- 1)....0....
= 0
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\(2009^{\left(1000-1^3\right)\cdot\left(100-2^3\right)\cdot...\left(1000-15^3\right)}\)
mik dang can gap
\(2009^{\left(1000-1^3\right).\left(1000-2^3\right)...\left(1000-15^3\right)}\)
= \(2009^{\left(1000-1^3\right).\left(1000-2^3\right)...\left(1000-10^3\right)..\left(1000-15^3\right)}\)
= \(2009^{\left(1000-1^3\right).\left(1000-2^3\right)...\left(1000-1000\right)..\left(1000-15^3\right)}\)
= \(2009^{\left(1000-1^3\right).\left(1000-2^3\right)...0..\left(1000-15^3\right)}\)
= \(2009^0\)
= \(1\)
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Tính nhanh: (1000 - 13 ) x (1000 - 23 ) x ( 1000 - 33 ) x ...........x (1000 - 503 )
(1000 - 13) x (1000 - 23) x (1000 - 33) x ... x (1000 - 103) x ... x (1000 - 503)
= (1000 - 13) x (1000 - 23) x (1000 - 33) x ... x (1000 - 1000) x ... x (1000 - 503)
= (1000 - 13) x (1000 - 23) x (1000 - 33) x ... x 0 x ... x (1000 - 503)
= 0
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