Exponent Calculator
Raise a finite numeric base to a selected positive, negative, integer, or fractional exponent and display the computed power.
Raise a base to a power
How this tool works
Exponentiation represents repeated multiplication for positive whole exponents and extends to reciprocals and roots for negative or fractional values. The calculator accepts finite decimal inputs and rejects results that overflow to a non-finite number.
The expression b^x raises base b to exponent x. For negative integer x it equals 1/b^(−x), while fractional exponents can represent real roots where the base permits them.
How to use it
- Enter a finite base value.
- Enter the desired exponent, including a negative or decimal value if appropriate.
- Read the power and verify that the selected base-exponent combination has a real finite result.
Worked examples
Positive integer power
- Input
- Base 2, exponent 10
- Output
- 1,024
The exponent instructs the calculator to multiply two by itself ten times, producing the exact power value 1,024.
Negative exponent
- Input
- Base 4, exponent -2
- Output
- 0.0625
A negative exponent takes the reciprocal of the corresponding positive power, so four to negative two equals one divided by sixteen.
Limitations
- Some negative-base fractional powers are not real numbers.
- Very large magnitudes can overflow floating-point representation.