Exponent Calculator
Raise any number to a power, including negative and fractional exponents, with the root shown as well.
Last updated · View algorithm, constants and default inputs (JSON)
About this calculator
Calculates real-valued powers and the base raised to the reciprocal exponent. The inverse output is 1 ÷ result. A negative base with a fractional exponent, zero with a negative exponent, or an overflow has no finite real result here and shows an input error; the root is undefined when the exponent is zero.
Worked example
calculated with the default values below
Base 2 · Exponent 10 Result 1,024.000000 · Inverse (1 ÷ result) 0.00097656 · Base to the power (1 ÷ exponent) 1.071773
General background references
Disclaimer
These calculators give general mathematical results. They suit study, planning and estimation — verify anything that feeds a graded submission, a published figure or a financial commitment.
Implementation source
This record describes the implementation used by this page. It is not independent validation. External references, when available, support only the stated formula or definition; estimates and custom rules retain their own assumptions.
Formula and variables
y = b^x; 1 ÷ y; r = b^(1 ÷ x)
- b
- base
- x
- exponent
- y
- power result
- r
- root of the base
Non-finite powers and negative bases with fractional exponents return an error; 0 to a negative power is undefined. Inverse is null for a zero result; the reciprocal-exponent root is undefined when x = 0. Numeric outputs are rounded for display.
Frequently asked questions
When does this calculator show an input error?
The model supports real finite results. A negative base needs an integer exponent; zero cannot have a negative exponent, and overflow is also rejected. The inverse is undefined when the power result is zero. The separate root is base^(1/exponent), so it is undefined at exponent zero.