Power up

In Pokémon GO, the player can Power Up (Japanese: 強化 strengthen) a Pokémon using Stardust and Candy to make it stronger. This is analogous to raising a Pokémon's level in the core series games, but no explicit numeric level is ever given for Pokémon in Pokémon GO. Powering Up a Pokémon raises its stats, which is reflected on the Pokémon's summary screen in its HP and CP.

Power Up level

Each Pokémon effectively has a "Power Up level". This level dictates:

The cost of the next Power Up, and
A multiplier that determines the Pokémon's stats.

When a Pokémon is first caught or hatched, its Power Up level may be anywhere from 1 to a limit dictated by the player's Trainer level. This is the largest reason why two of the same Pokémon the player may encounter can have different CP and HP values, and it is likewise why the player will encounter Pokémon with higher CP and HP as their Trainer level increases. However, data uncovered from the game suggests that wild Pokémon will always consider the player to have, at most, a Trainer level of 30 for purposes of limiting their initial Power Up level, and that Eggs will always consider the player to have at most a Trainer level of 20.

A Pokémon's initial Power Up level is completely irrelevant to a Pokémon's eventual potential. Any two Pokémon can reach the same Power Up level, and the only thing that can make a difference between their stats at that point is their IVs. If two Pokémon have the same IVs, but different initial Power Up levels, the only difference between raising them will be that the lower one will require more Stardust and Candy to reach the same stats as the higher one.

The player's Trainer level limits the maximum Power Up level their Pokémon are able to reach.

max = Trainer_level * 2 + 2

This limit applies both to the initial Power Up level of caught or hatched Pokémon and to Powering Up a Pokémon from their summary screen. The half-circle gauge above or behind a Pokémon on its summary screen indicates how close it is to this limit.

Costs

Powering Up a Pokémon requires both Stardust and Candy. The amount of Stardust and Candy required for the next Power Up will be shown on the Pokémon's summary screen. If the Pokémon is at the maximum Power Up level for the player's Trainer level, then the player will not be able to Power Up the Pokémon.

Each time a Pokémon is Powered Up, its Power Up level increases by 1 and its stats are recalculated using the stat multiplier in the rightmost column below.

Power Up level	Next Power Up costs		Stat multiplier
Power Up level	Stardust	Candy	Stat multiplier
1	200	1	0.094
2	200	1	0.1351374318
3	200	1	0.16639787
4	200	1	0.192650919
5	400	1	0.21573247
6	400	1	0.2365726613
7	400	1	0.25572005
8	400	1	0.2735303812
9	600	1	0.29024988
10	600	1	0.3060573775
11	600	1	0.3210876
12	600	1	0.3354450362
13	800	1	0.34921268
14	800	1	0.3624577511
15	800	1	0.37523559
16	800	1	0.3875924064
17	1000	1	0.39956728
18	1000	1	0.4111935514
19	1000	1	0.42250001
20	1000	1	0.4335116883
21	1300	2	0.44310755
22	1300	2	0.4530599591
23	1300	2	0.46279839
24	1300	2	0.4723360832
25	1600	2	0.48168495
26	1600	2	0.4908558003
27	1600	2	0.49985844
28	1600	2	0.508701765
29	1900	2	0.51739395
30	1900	2	0.5259425113
31	1900	2	0.53435433
32	1900	2	0.542635767
33	2200	2	0.55079269
34	2200	2	0.5588305763
35	2200	2	0.56675452
36	2200	2	0.574569153
37	2500	2	0.58227891
38	2500	2	0.5898879171
39	2500	2	0.59740001
40	2500	2	0.6048188139
41	3000	3	0.61215729
42	3000	3	0.6194041117
43	3000	3	0.62656713
44	3000	3	0.6336491729
45	3500	3	0.64065295
46	3500	3	0.6475809666
47	3500	3	0.65443563
48	3500	3	0.6612192524
49	4000	3	0.667934
50	4000	3	0.6745818959
51	4000	4	0.68116492
52	4000	4	0.6876849236
53	4500	4	0.69414365
54	4500	4	0.70054287
55	4500	4	0.70688421
56	4500	4	0.713169119
57	5000	4	0.71939909
58	5000	4	0.7255756036
59	5000	4	0.7317
60	5000	4	0.734741036
61	6000	6	0.73776948
62	6000	6	0.7407855738
63	6000	6	0.74378943
64	6000	6	0.7467812109
65	7000	8	0.74976104
66	7000	8	0.7527290867
67	7000	8	0.75568551
68	7000	8	0.7586303783
69	8000	10	0.76156384
70	8000	10	0.7644860647
71	8000	10	0.76739717
72	8000	10	0.7702972656
73	9000	12	0.7731865
74	9000	12	0.7760649616
75	9000	12	0.77893275
76	9000	12	0.7817900548
77	10000	15	0.78463697
78	10000	15	0.7874735776
79	10000	15	0.79030001
80	10000	15	0.7931163638
81	N/A	N/A	N/A