Powers and roots

Calculate a power or an integer-degree root in the real numbers.

Changing modes clears your inputs and result.

Decimal exponents are accepted for positive bases. Negative bases require integer exponents; 0⁰ and negative powers of zero are rejected. Approximate real calculation, without complex numbers. Example: 2³ = 8.

Both dots and commas are accepted as decimal separators.

Your inputs stay in your browser. Displayed results are rounded to a maximum of 12 significant digits.

Method and assumptions

Method version 1.0.0 · Updated

Power

Formula: bˣ

Decimal exponents are accepted for positive bases. Negative bases require integer exponents; 0⁰ and negative powers of zero are rejected. Approximate real calculation, without complex numbers. Example: 2³ = 8.

base
Base
exponent
Exponent
Root

Formula: ⁿ√x

Principal real root for a positive number. For a negative number, only odd degrees are accepted. Example: the cube root of −27 is −3. Results outside the numeric range are reported.

value
Number
degree
Root degree

Approximate real floating-point calculation; at most 12 significant digits displayed. Results outside the domain or numeric range are reported.