Step 1: Analyze the structure of P\(_4\)O\(_{10}\).
The structure of P\(_4\)O\(_{10}\) consists of four phosphorus atoms, each bonded to three oxygen atoms. These form three P-O-P bonds, where each phosphorus atom is connected to two other phosphorus atoms via oxygen atoms. Thus, there are three P-O-P bonds in total.
Step 2: Conclusion.
The number of P-O-P bonds in the structure of P\(_4\)O\(_{10}\) is 3.