Power Calculator
Result
1,024
2^10
What is a Power Calculator?
A power calculator computes exponents, roots, and logarithms in one tool. Whether you need to raise a number to a power (base^exponent), find the Nth root of a value, or calculate a logarithm in any base (log₁₀, natural log, or log₂), this calculator handles it all instantly — including negative and fractional exponents.
How to Use
- Select the operation: Power (b^n), Root (ⁿ√x), or Logarithm (logₙ x).
- Enter the required values for the chosen operation.
- The result appears instantly. Use the Quick Powers buttons for common calculations.
Frequently Asked Questions
What is a negative exponent?
A negative exponent means taking the reciprocal: x^(-n) = 1/x^n. So 2^(-3) = 1/8 = 0.125. Negative exponents appear in scientific notation for very small numbers (e.g., 1 nm = 10^(-9) m).
What is a fractional exponent?
A fractional exponent represents a root: x^(1/n) = nth root of x. So 8^(1/3) = cube root of 8 = 2, and 16^(0.5) = square root of 16 = 4. Fractional exponents unify roots and powers into a single notation.
What is the difference between log and ln?
log (log₁₀) is base-10 logarithm — used in pH, decibels, and the Richter scale. ln (natural log) is base-e (≈2.718) — used in calculus, growth/decay models, and statistics. log₂ is used in information theory and computing (bits).
What is e (Euler's number)?
e ≈ 2.71828 is the base of natural logarithms. It appears naturally in compound interest (continuously compounded), population growth, radioactive decay, and many physics and engineering equations. Like π, it's irrational and transcendental.