Exponent Calculator
Calculate exponential operations including power (a^b), natural exponential (e^x), powers of 10 and 2, and nth roots with step-by-step solutions.
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Exponent Calculator - Powers, Exponentials & Roots
Calculate exponents and powers instantly. Compute a^b (power), e^x (natural exponential), 10^x (powers of 10), 2^x (powers of 2), and nth roots with detailed step-by-step solutions.
What is an Exponent?
An exponent indicates how many times a number (base) is multiplied by itself. In a^b, 'a' is the base and 'b' is the exponent. For example, 2^3 = 2×2×2 = 8. Special cases include e^x (natural exponential) and roots which are fractional exponents (√a = a^(1/2)).
Exponent Rules
a^b = a × a × ... × a (b times)How to Use This Calculator
Exponent Calculator Applications
Compound Interest
Calculate investment growth using exponential formulas.
Population Growth
Model exponential population changes over time.
Computer Memory
Powers of 2 for bytes, KB, MB, GB calculations.
Scientific Notation
Powers of 10 for expressing very large or small numbers.
Frequently Asked Questions
Any non-zero number raised to the power of 0 equals 1. This is because a^n / a^n = a^(n-n) = a^0 = 1. Note: 0^0 is mathematically undefined.