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Discussion

If \(m\) and \(n\) are whole numbers such that \(m^n = 169\), then the value of \((m-1)^{n+1}\) is:

  • A.1
  • B.13
  • C.169
  • D.1728

Answer: D

Exp: Clearly, \(m = 13\), and \(n = 2\).

Therefore, \((m-1)^{n+1} = (13 - 1)^3 = 12^3 = 1728\)

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