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A Pearl of Power is not considered to be "Always Available". What that means is that you must first have a certain level of Fame before you're able to freely purchase it. If you wish to purchase any 1,000gp item that is not Always Available (such as a Cloak of Resistance or some Bracers of Armor), your Fame would first have to reach 9, as the previous poster stated. A Fame of 9 opens up purchases of up to 1,500gp.
If you happen to play through a scenario or module that lists a Pearl of Power on the Chronicle, then that would also work, regardless of what your Fame happened to be.
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Fame is your default mechanic. After the first two levels you should almost always have the fame to get something
TABLE 5–3: FAME AND ITEM PURCHASES::
Minimum Fame Required Maximum Item Cost
Under 5 0 gp
5 500 gp
9 1,500 gp
13 3,000 gp
18 5,250 gp
22 8,000 gp
27 11,750 gp
31 16,500 gp
36 23,000 gp
40 31,000 gp
45 41,000 gp
49 54,000 gp
54 70,000 gp
58 92,500 gp
63 120,000 gp
67 157,500 gp
72 205,000 gp
76 265,000 gp
81 342,500 gp
85 440,000 gp
90 565,000 gp
94 680,000 gp
99 800,000 gp
Minimum Fame Required Maximum Item Cost
Under 5 0 gp
5 500 gp
9 1,500 gp
13 3,000 gp
18 5,250 gp
22 8,000 gp
27 11,750 gp
31 16,500 gp
36 23,000 gp
40 31,000 gp
45 41,000 gp
49 54,000 gp
54 70,000 gp
58 92,500 gp
63 120,000 gp
67 157,500 gp
72 205,000 gp
76 265,000 gp
81 342,500 gp
85 440,000 gp
90 565,000 gp
94 680,000 gp
99 800,000 gp