Powers Table
This page provides a practical reference for common exponent values. Use it to look up squares and cubes of integers, plus frequently used powers such as powers of 2 (computing) and powers of 10 (scientific notation).
Squares (n²) — 1 to 50
Square numbers appear in geometry, statistics, algebra, and everyday estimation (area, RMS, variance).
| n | n² | Notes |
|---|---|---|
| 1 | 1 | 1×1 |
| 2 | 4 | 2×2 |
| 3 | 9 | 3×3 |
| 4 | 16 | 4×4 |
| 5 | 25 | 5×5 |
| 6 | 36 | 6×6 |
| 7 | 49 | 7×7 |
| 8 | 64 | 8×8 |
| 9 | 81 | 9×9 |
| 10 | 100 | 10×10 |
| 11 | 121 | |
| 12 | 144 | |
| 13 | 169 | |
| 14 | 196 | |
| 15 | 225 | |
| 16 | 256 | 2⁸ |
| 17 | 289 | |
| 18 | 324 | |
| 19 | 361 | |
| 20 | 400 | |
| 21 | 441 | |
| 22 | 484 | |
| 23 | 529 | |
| 24 | 576 | |
| 25 | 625 | |
| 26 | 676 | |
| 27 | 729 | 3⁶ |
| 28 | 784 | |
| 29 | 841 | 29² |
| 30 | 900 | |
| 31 | 961 | |
| 32 | 1024 | 2¹⁰ |
| 33 | 1089 | |
| 34 | 1156 | |
| 35 | 1225 | |
| 36 | 1296 | 6² |
| 37 | 1369 | |
| 38 | 1444 | |
| 39 | 1521 | |
| 40 | 1600 | |
| 41 | 1681 | |
| 42 | 1764 | |
| 43 | 1849 | |
| 44 | 1936 | |
| 45 | 2025 | |
| 46 | 2116 | |
| 47 | 2209 | |
| 48 | 2304 | |
| 49 | 2401 | 7⁴ |
| 50 | 2500 |
Cubes (n³) — 1 to 25
Cube values are common in volume calculations, scaling laws, and algebraic identities.
| n | n³ | Notes |
|---|---|---|
| 1 | 1 | 1×1×1 |
| 2 | 8 | |
| 3 | 27 | 3³ |
| 4 | 64 | 8² |
| 5 | 125 | |
| 6 | 216 | |
| 7 | 343 | |
| 8 | 512 | 2⁹ |
| 9 | 729 | 9³ |
| 10 | 1000 | 10³ |
| 11 | 1331 | |
| 12 | 1728 | 12³ |
| 13 | 2197 | |
| 14 | 2744 | |
| 15 | 3375 | |
| 16 | 4096 | 2¹² |
| 17 | 4913 | |
| 18 | 5832 | |
| 19 | 6859 | |
| 20 | 8000 | |
| 21 | 9261 | |
| 22 | 10648 | |
| 23 | 12167 | |
| 24 | 13824 | |
| 25 | 15625 | 5⁶ |
Powers of 2 (2ⁿ) — 0 to 20
Common in computing (binary, memory sizes) and exponential growth.
| n | 2ⁿ | Common Reference |
|---|---|---|
| 0 | 1 | |
| 1 | 2 | |
| 2 | 4 | |
| 3 | 8 | |
| 4 | 16 | |
| 5 | 32 | |
| 6 | 64 | |
| 7 | 128 | |
| 8 | 256 | |
| 9 | 512 | |
| 10 | 1024 | ≈ 1 Ki |
| 11 | 2048 | ≈ 2 Ki |
| 12 | 4096 | ≈ 4 Ki |
| 13 | 8192 | ≈ 8 Ki |
| 14 | 16384 | ≈ 16 Ki |
| 15 | 32768 | ≈ 32 Ki |
| 16 | 65536 | ≈ 64 Ki |
| 17 | 131072 | ≈ 128 Ki |
| 18 | 262144 | ≈ 256 Ki |
| 19 | 524288 | ≈ 512 Ki |
| 20 | 1048576 | ≈ 1 Mi |
Powers of 10 (10ⁿ) — -6 to 9
Useful for scientific notation, unit prefixes, and order-of-magnitude estimation.
| n | 10ⁿ | Common Prefix |
|---|---|---|
| -6 | 0.000001 | micro (µ) |
| -3 | 0.001 | milli (m) |
| -2 | 0.01 | centi (c) |
| -1 | 0.1 | deci (d) |
| 0 | 1 | |
| 1 | 10 | deka (da) |
| 2 | 100 | hecto (h) |
| 3 | 1000 | kilo (k) |
| 6 | 1,000,000 | mega (M) |
| 9 | 1,000,000,000 | giga (G) |
Note: For readability, larger values may be displayed with separators. In scientific contexts, you may prefer forms like 106 = 1e6.
How to Use This Table
- Square: multiply a number by itself (n² = n × n).
- Cube: multiply a number by itself twice (n³ = n × n × n).
- Exponent rules (quick): am · an = am+n, and (am)n = amn.
- Estimation tip: when comparing magnitudes, use powers of 10 to reason about orders of magnitude.