tính nhanh D=2009^(1000-1^3)(1000-2^3)...(1000-15^3)
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
=(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
\(\left(1000-1^3\right)\left(1000-2^3\right)\left(1000-3^3\right)...\left(1000-15^3\right)\)
\(=\left(1000-1^3\right)\left(1000-2^3\right)...\left(1000-10^3\right)....\left(1000-15^3\right)\)
\(=\left(1000-1^3\right)\left(1000-2^3\right)...\left(1000-1000\right)....\left(1000-15^3\right)\)
\(=\left(1000-1^3\right)\left(1000-2^3\right)....0.....\left(1000-15^3\right)\)
\(=0\)
\(\left(1000-1^3\right)\left(1000-2^3\right)\left(1000-3^3\right).....\left(1000-15^3\right)\)
\(=\left(1000-1^3\right)\left(1000-2^3\right)\left(1000-3^3\right)....\left(1000-15^3\right)\left(1000-10^3\right)\)\(=A.\left(1000-10^3\right)\)
\(=A.0=0\)
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
A = ( 1000 - 1^3) .....(1000 - 10^3) ....
= (1000 - 1 ^3 )....(1000 - 1000)....
= (1000- 1)....0....
= 0
\(2009^{\left(1000-1^3\right).\left(1000-2^3\right)...\left(1000-15^3\right)}\)
= \(2009^{\left(1000-1^3\right).\left(1000-2^3\right)...\left(1000-10^3\right)..\left(1000-15^3\right)}\)
= \(2009^{\left(1000-1^3\right).\left(1000-2^3\right)...\left(1000-1000\right)..\left(1000-15^3\right)}\)
= \(2009^{\left(1000-1^3\right).\left(1000-2^3\right)...0..\left(1000-15^3\right)}\)
= \(2009^0\)
= \(1\)
(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
D = 2009^(1000 - 1^3)...(1000-10^3)...(1000-15^3)
= 2009^(1000 - 1^3) .....0.(1000-15^3)
= 2009^0
= 1