Exponent Calculator (b^x)
b^x — supports fractional, negative, and zero exponents.
Result
2^10
1,024.00000000
Repeated multiplication 10 times
- Base2
- Exponent10
- Result1,024.0000000000
- In ln forme^(10 × ln 2) = e^6.9315
- Reciprocal0.00097656
Step-by-step
- Multiply 2 by itself 10 times = 1,024.00000000.
How to use this calculator
- Enter base and exponent.
- Read result.
About this calculator
Exponentiation: b^x means "b multiplied by itself x times" — but extends to fractional, negative, and zero exponents via b^x = e^(x·ln b). Special cases: b^0 = 1, b^(−x) = 1/b^x, b^(1/2) = √b, b^(1/n) = ⁿ√b. JavaScript Math.pow handles all cases. Note: 0^0 is conventionally 1 in combinatorics and discrete math; some calculators return NaN. Negative bases with non-integer exponents are typically NaN in real arithmetic.
Frequently asked
Convention that makes math consistent: b^(a−a) = b^a / b^a = 1. Holds for any non-zero base.
Related calculators
Nth Root Calculator
ⁿ√x = x^(1/n). Generalizes square and cube roots to any positive integer n.
Square Root Calculator (√n)
√n with integer-perfect-square check, simplified surd form, and decimal expansion.
Cube Root Calculator (∛n)
∛n with perfect-cube detection, simplified surd form, and decimal expansion.
Logarithm Calculator
log_b(x) for any base b > 0, b ≠ 1, x > 0. Common bases shown side-by-side.
Antilogarithm Calculator
b^x — the inverse of a logarithm. Given the log value and base, recover the original number.
Scientific Notation Converter
Convert decimal ↔ scientific notation. Standard form a × 10^b with 1 ≤ |a| < 10.