Exponent Calculator
Enter a base and exponent to calculate powers instantly, including negative and decimal exponents.
How to Use the Exponent Calculator
Enter a base and exponent to calculate powers, including positive, zero, negative and many decimal exponents.
Practical Example
For base 2 and exponent 8, the result is 2^8 = 256. For 2^-3, the result is 0.125.
Factors That Affect the Result
Some combinations, such as certain fractional powers of negative numbers, do not produce real-number results. Extremely large powers can also exceed browser numeric limits.
Related Tools
Square Root Calculator · Cube Root Calculator · Scientific Notation Calculator · Rounding Calculator · Prime Factorization Calculator
Frequently Asked Questions
What does an exponent of zero mean?
Any nonzero base raised to zero equals 1.
Can exponents be negative?
Yes. A negative exponent represents the reciprocal of the positive power.
Can exponents be decimals?
Yes, although some base-and-exponent combinations do not have real-number results.
Understanding Exponents
An exponent indicates repeated multiplication of a base. For example, 3⁴ means 3 × 3 × 3 × 3 = 81. An exponent of zero gives 1 for any nonzero base, while a negative exponent represents the reciprocal: 2⁻³ = 1/2³ = 1/8.
Fractional and Large Exponents
Fractional exponents are related to roots, so x^(1/2) corresponds to a square root where the real-number expression is defined. Very large powers can produce numbers beyond ordinary display ranges, and decimal bases or exponents can introduce rounding.
Pay attention to parentheses with negative bases. (-2)² equals 4, while -2² is commonly interpreted as -(2²), which equals -4 because exponentiation is performed before the leading negative sign. Enter the intended base and exponent explicitly to avoid ambiguity.