Calculate exponents, powers, fractional exponents, negative exponents, and scientific notation with our free exponent calculator
Calculate a base raised to an exponent
Calculate (base^exp1)^exp2
Calculate base raised to a fractional exponent
Calculate base raised to a negative exponent
Convert between decimal and scientific notation
An exponent (also called a power) represents how many times a number (the base) is multiplied by itself. For example, 2^3 means 2 × 2 × 2 = 8. Exponents are fundamental in mathematics, science, engineering, and finance for representing growth, decay, and large numbers.
Understanding exponent rules helps simplify complex calculations. Key rules include: multiplying powers with the same base (add exponents), dividing powers (subtract exponents), power of a power (multiply exponents), and negative exponents (take reciprocal).
The basic exponent formula is:
where b = base and e = exponent
A negative exponent means taking the reciprocal:
Here are several everyday situations that show how easy it is to use our exponent calculator.
These examples show how our exponent calculator can handle:
You can adapt any real-life situation involving exponents to one of these patterns and let the calculator do the work for you.