(7-5根号2)^2000 * (-7-5根号2)^2001

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(7-5根号2)^2000 * (-7-5根号2)^2001

(7-5根号2)^2000 * (-7-5根号2)^2001
(7-5根号2)^2000 * (-7-5根号2)^2001

(7-5根号2)^2000 * (-7-5根号2)^2001
原式=-(7-5根号2)^2000 *(7+5根号2)^2001
=(7-5根号2)^2000 *1/(7-5根号2)^2001
=1/(7-5根号2)
=-7-5根号2

7-5√2)^2000*(-7-5√2)^2001
=(-7-5√2)*[(7-5√2)*(-7-5√2)]^2000
=(-7-5√2)*1^2000
=-7-5√2

(7-5根号2)^2000 * (-7-5根号2)^2001
=(7-5根号2)^2000 * (-7-5根号2)^2000*(-7-5根号2)
=(5根号2²-7²)^2000*(-7-5根号2)
=1^2000*(-7-5根号2)
=-7-5根号2

(7-5√2)ˇ2000×(-7-5√2)ˇ2001
=(7-5√2)ˇ2000×(7+5√2)ˇ2000×(-7-5√2)
=(49-50)ˇ2000×(-7-5√2)
=-7-5√2

(7-5根号2)^2000 * (-7-5根号2)^2001
=(7-5根号2)^2000 * (-7-5根号2)^2000*(-7-5根号2)
=[(7-5根号2) * (-7-5根号2)]^2000*(-7-5根号2)
=(49-50)^2000*(-7-5根号2)
=-7-5根号2

(7-5根号2)^2000 * (-7-5根号2)^2001
=-(7-5根号2)^2000 * (7+5根号2)^2000* (7+5根号2)
=-[(7-5根号2)(7+5根号2)]^2000* (7+5根号2)
=-(49-50)^2000* (7+5根号2)
=-(-1)^2000* (7+5根号2)
=-7-5根号2

(7-5√2)^2000*(-7-5√2)^2001
=(-7-5√2)*[(7-5√2)*(-7-5√2)]^2000
=(-7-5√2)*1^2000
=-7-5√2