To find an expression equivalent to \((c−7)^{17}\), let's first analyze the expression given in the options.
- c
- 1/c
- 1/c^{49}
- c^{-14}
None of these options directly represent a simplification of \((c−7)^{17}\). Instead, they seem to be focused on various forms that involve powers of \( c \).
To clarify options, \((c - 7)^{17}\) does not simplify to any of these directly. However, if you are looking for a representation involving negative exponents (which often stands in for division), we can attempt transformations for understanding:
None of the options relate to the form of \((c - 7)^{17}\), except potentially the fourth option, \( c^{-14} \), which might suggest a relationship that involves manipulating exponents, but does not directly equate to \((c - 7)^{17}\).
Thus, since there seems to be no correct option presented in the responses, the answer really leans towards understanding that \((c - 7)^{17}\) stands as a separate entity and does not simplify into any of the options given.
Therefore, based on the analysis you provided, it appears that none of the respuestas are equivalent to \( (c - 7)^{17} \).