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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

\( 169 = 13^{2} \), so \( m = 13 \) and \( n = 2 \).

\[ (m-1)^{n+1} = 12^{3} = 1728 \]

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