Exponent & Root Calculator
Calculate powers (exponents) and nth roots.
Assumptions used in this calculation
- Root sign convention: Odd-degree roots of negative numbers return the real negative result; even-degree roots of negative numbers are not computed since they aren't real.
About this calculator
Raising a number to a large power or extracting a root beyond a square root quickly outgrows what's practical by hand or with a basic calculator, particularly with fractional or negative exponents where the rules for what's even defined get easy to misremember. This calculator handles both directions of the same operation: given a base and an exponent it computes base^exponent, and given a value and a degree it computes the nth root as value^(1/degree), preserving the sign for odd-degree roots of negative numbers (so the cube root of −8 correctly returns −2) since even roots of negative numbers aren't real. It also applies exponent rules automatically, so a fractional exponent computes a root and a negative exponent computes a reciprocal, without you needing to rewrite the expression first. That removes the guesswork around sign conventions and exponent identities that trip up manual calculation.
Worked example
2^10
Result: 1024
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