How to Calculate Exponent
What is Exponent?
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.
Step-by-Step Guide
- 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
Worked Examples
Input
2^10
Result
1,024
Basis of KB/MB/GB in computing
Input
5^(−2)
Result
0.04
1/25
Input
27^(1/3)
Result
3
Cube root of 27
Input
10^6
Result
1,000,000
1 million = 10⁶
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