To simplify the expression \((c - 7)^{17}\), we should look for an equivalent expression.
However, the expression \((c - 7)^{17}\) does not directly simplify to any of the provided options because these options involve variables raised to powers or fractions that don't relate to \((c - 7)^{17}\) directly.
Here’s a quick look at your provided responses:
- \(c - 14\) is not equivalent.
- \(c^{-14}\) (which means \(1/(c^{14})\)) is not equivalent.
- \(\frac{1}{c^{49}}\) is not equivalent.
- \(\frac{1}{c}\) is not equivalent.
- \(c\) is also not equivalent.
Since none of the offered options correlate to \((c - 7)^{17}\), it's likely that there was a misunderstanding. The expression actually does not reduce in the context of the options provided; thus, there isn't an option correctly equivalent to \((c - 7)^{17}\).
If you can confirm that \((c - 7)^{17}\) is indeed the expression in question, none of the available responses would be correct.
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