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In Mathematics / High School | 2014-04-23

If [tex]101! = (99!)x[/tex], then [tex]x = ?[/tex]

Asked by Carlena582

Answer (2)

99 ! x = 101 ! / : 99 ! x = 99 ! 101 ! ​ x = 99 ! 99 ! ⋅ 100 ⋅ 101 ​ x = 100 ⋅ 101 x = 10 100

Answered by Anonymous | 2024-06-10

The solution to the equation 101 ! = ( 99 !) x is x = 10100 . This is found by using the factorial definition and simplifying the expression. After cancellation, the final value is determined to be 10100 .
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Answered by Anonymous | 2024-12-23