Exponent Calculator
Raise a number to any power, including negative and fractional exponents, with exact integer results for whole-number powers.
Your inputs
Results
2^64
1.84467E19
- Exact integer value
- 18446744073709551616
✓Exact calculation — rounded only for display
What this calculator does
Exponents express repeated multiplication. Negative exponents give reciprocals and fractional exponents give roots.
Formula and method
b^n; b^(−n) = 1 ÷ b^n; b^(1/k) = k-th root of b
Worked example
Calculated by this tool with its default inputs:
Inputs
- Base: 2
- Exponent: 64
Results
- 2^64: 1.84467E19
- Exact integer value: 18446744073709551616
How to read the results
A negative base with a fractional exponent has no real result.
Assumptions and limitations
- Exact big-integer results are shown for integer bases and exponents.
Questions
What is 0⁰?
By common convention it is 1, which is what this calculator returns.
Methodology and verification
- Result type
- Exact mathematical calculation (rounded only for display)
- Formula version
- 1.0
- Automated verification
- 6 reference and validation test cases, checked against independently computed values. The site cannot be built if any of them fail.
- Editorial review
- Awaiting human editorial review. The explanation was drafted with AI assistance; the formula and examples are verified by the automated tests above.
Privacy
Everything you enter is calculated in this browser and is not sent to Numerith or anyone else. Inputs are added to a share link only if you choose to include them. Privacy policy