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\(\left(125^3.7^4-5^9.49^2\right):2005^{2006}\)
\(=\left[\left(5^3\right)^3.7^4-5^9.\left(7^2\right)^2\right]:2005^{2006}\)
\(=\left(5^9.7^4-5^9.7^4\right):2005^{2006}\)
\(=0:2005^{2006}\)
\(=0\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\left(125^3.7^4-5^9+49^2\right):2005^{2006}\)
\(=\left(5^9.7^4-5^9.7^4\right):2005^{2006}\)
\(=0:2005^{2006}\)
\(=0\)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
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A = 1 + 2 - 3 - 4 + 5 + 6 - 7 - 8 + 9 + ... + 2002 - 2003 - 2004 + 2005 + 2006
= 1 + 2 - 3 + ( -4 ) + 5 + 6 - 7 + ( -8 ) + 9 + ... + 2002 - 2003 + ( -2004 ) + 2005 + 2006
= 1 + ( 2 - 3 ) + ( -4 + 5 ) + ( 6 - 7 ) + ( -8 + 9 ) + ... + ( 2002 - 2003 ) + ( -2004 + 2005 ) + 2006
= 1 + ( -1 ) + 1 + ( -1 ) + 1 + ... + ( -1 ) + 1 + 2006 ( 1002 số -1 và 1003 số 1 )
= ( 1 . 1003 ) + [( -1 ) . 1002 ] + 2006
= 1003 + ( -1002 ) + 2006
= 1 + 2006
= 2017
Vậy A = 2017
( 1253 . 74 - 59 . 492 ) : 20052006
= [ ( 53 )3 . 74 - 59 . ( 72 )2 ] : 20052006
= [ 59 . 74 - 59 . 74 ] : 20052006
= 0 : 20052006
= 0
cảm ơn nha