Exponent Calculator
An exponent (power) indicates how many times a base number is multiplied by itself. Exponentiation appears in compound interest, scientific notation, computer storage, population growth, and virtually all quantitative sciences.
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Tip: For quick mental powers of 2: memorise up to 2^10 = 1024. Then: 2^20 ≈ 1 million, 2^30 ≈ 1 billion, 2^40 ≈ 1 trillion.
- 1b^n = b × b × b … (n times)
- 2Any number raised to 0 equals 1 (b⁰ = 1)
- 3Negative exponent = reciprocal: b^(−n) = 1/bⁿ
- 4Fractional exponent = root: b^(1/n) = ⁿ√b
2^10=1,024Basis of KB/MB/GB in computing
5^(−2)=0.041/25
27^(1/3)=3Cube root of 27
10^6=1,000,0001 million = 10⁶
| Power | Value | Name |
|---|---|---|
| 2^10 | 1,024 | ~1 Kilobyte |
| 2^20 | 1,048,576 | ~1 Megabyte |
| 2^30 | 1,073,741,824 | ~1 Gigabyte |
| 2^40 | 1,099,511,627,776 | ~1 Terabyte |
| 2^64 | 18,446,744,073,709,551,616 | Max 64-bit integer |
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Fun Fact
If you folded a piece of paper in half 42 times, it would reach from Earth to the Moon. This is 2^42 ≈ 4.4 trillion thicknesses — exponential growth is mind-bending.
References
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