The following cubes should be memorized (at least through 203):
13
= 1 |
23
= 8 |
33
= 27 |
43
= 64 |
53
= 125 |
63
= 216 |
73
= 343 |
83
= 512 |
93
= 729 |
103
= 1000 |
113
= 1331 |
123
= 1728 |
133
= 2197 |
143
= 2744 |
153
= 3375 |
163
= 4096 |
173
= 4913 |
183
= 5832 |
193
= 6859 |
203
= 8000 |
213
= 9261 |
223
= 10648 |
233
= 12167 |
243 = 13824 |
253
= 15625 |
There are some numbers in which you should memorize even higher powers:
24 = 16 |
28 = 256 |
34 = 81 |
45 = 1024 |
25 = 32 |
29 = 512 |
35 = 243 |
54 = 625 |
26 = 64 |
210 = 1024 |
36 = 729 |
64 = 1296 |
27 = 128 |
211 = 2048 |
44 = 256 |
74 = 2401 |