The variables satisfy \(x=ay^b\), where \(a,b\) are constants. Use the table to find \(a,b,c\).
| \(x\) | \(0\) | \(3\) | \(24\) | \(c\) |
|---|---|---|---|---|
| \(y\) | \(0\) | \(1\) | \(2\) | \(3\) |
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