Power (Algebra)/Examples

From ProofWiki
Jump to navigation Jump to search

Examples of Integer Powers

Sequence of Powers of 2

The sequence of powers of $2$ begins:

$1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16 \, 384, 32 \, 768, \ldots$


Sequence of Powers of 3

The sequence of powers of $3$ begins:

$1, 3, 9, 27, 81, 243, 729, 2187, 6561, 19 \, 683, 59 \, 049, \ldots$


Sequence of Powers of 4

The sequence of powers of $4$ begins:

$1, 4, 16, 64, 256, 1024, 4096, 16 \, 384, 65 \, 536, 262 \, 144, 1 \, 048 \, 576, 4 \, 194 \, 304, \ldots$


Sequence of Powers of 5

The sequence of powers of $5$ begins:

$1, 5, 25, 125, 625, 3125, 15 \, 625, 78 \, 125, 390 \, 625, 1 \, 953 \, 125, 9 \, 765 \, 625, \ldots$


Sequence of Powers of 6

The sequence of powers of $6$ begins:

$1, 6, 36, 216, 1296, 7776, 46 \, 656, 279 \, 936, 1 \, 679 \, 616, 10 \, 077 \, 696, \ldots$


Sequence of Powers of 7

The sequence of powers of $7$ begins:

$1, 7, 49, 343, 2401, 16 \, 807, 117 \, 649, 823 \, 543, 5 \, 764 \, 801, 40 \, 353 \, 607, \ldots$


Sequence of Powers of 8

The sequence of powers of $8$ begins:

$1, 8, 64, 512, 4096, 32 \, 768, 262 \, 144, 2 \, 097 \, 152, 16 \, 777 \, 216, 134 \, 217 \, 728, \ldots$


Sequence of Powers of 9

The sequence of powers of $9$ begins:

$1, 9, 81, 729, 6561, 59 \, 049, 531 \, 441, 4 \, 782 \, 969, 43 \, 046 \, 721, 387 \, 420 \, 489, \ldots$


Sequence of Powers of 10

The sequence of powers of $10$ begins:

$1, 10, 100, 1000, 10 \, 000, 100 \, 000, 1 \, 000 \, 000, 10 \, 000 \, 000, 100 \, 000 \, 000, 1 \, 000 \, 000 \, 000, \ldots$


Sequence of Powers of 11

The sequence of powers of $11$ begins:

$1, 11, 121, 1331, 14 \, 641, 161 \, 051, 1 \, 771 \, 561, 19 \, 487 \, 171, 214 \, 358 \, 881, 2 \, 357 \, 947 \, 691, \ldots$


Sequence of Powers of 12

The sequence of powers of $12$ begins:

$1, 12, 144, 1728, 20 \, 736, 248 \, 832, 2 \, 985 \, 984, 35 \, 831 \, 808, 429 \, 981 \, 696, \ldots$