Exponent Calculator
An exponent (or power) represents repeated multiplication of a base number by itself. The expression b^e means the base b multiplied by itself e times. This calculator evaluates any base raised to any exponent — including negative exponents, which produce reciprocals, and fractional exponents, which correspond to roots.
Exponents are fundamental in science, engineering, finance, and everyday mathematics. Negative exponents such as 2^(-3) = 1/8 are common in scientific notation and physics, while fractional exponents like 8^(1/3) = 2 are equivalent to nth roots. This tool handles all these cases and shows an expanded multiplication note for small integer exponents so you can verify the result step by step.
How it works
b^e = b × b × … × b (e times) for positive integer e. For negative e: b^(-e) = 1 / b^e. For fractional e = p/q: b^(p/q) = the q-th root of b^p. Computed via Math.pow(b, e) for full precision.
Use cases
- Computing compound interest growth (principal × rate^years)
- Converting between scientific notation and standard form
- Calculating areas and volumes using squared or cubed measurements
- Evaluating nth roots via fractional exponents (e.g., 27^(1/3) = 3)
- Solving exponential decay problems in physics and chemistry