Exponent Calculator
Result1,024.000000
The exponent calculator raises a base to a power, computing bⁿ for any base and exponent you supply. It handles whole-number powers, fractional exponents that act as roots, and negative exponents that produce reciprocals. Enter the base and the exponent, and it returns the single numeric result of the exponentiation.
Formula
result = bⁿ
- b
- The base — the number being raised to a power
- n
- The exponent — how many times to multiply, or a root/reciprocal if fractional or negative
- result
- The value of b raised to the power n
How it works
- Enter the base — the number being multiplied by itself — in the first field.
- Enter the exponent in the second field. A positive whole number repeats the multiplication, a fraction takes a root, and a negative exponent gives the reciprocal of the positive power.
- The calculator evaluates base raised to the exponent and displays the result.
Worked examples
Evaluate 2 raised to the 10th power.
- Multiply 2 by itself ten times: 2 × 2 × … × 2.
- This equals 1024.
2^10 = 1024.
Evaluate 9 raised to the power 0.5 (a fractional exponent).
- An exponent of 0.5 is the same as taking the square root.
- The square root of 9 is 3.
9^0.5 = 3.
Frequently asked questions
- What does a negative exponent mean?
- A negative exponent gives the reciprocal of the positive power. For example, 2^−3 equals 1 ÷ 2³ = 1/8 = 0.125.
- How does a fractional exponent work?
- A fractional exponent takes a root. An exponent of 1/2 is a square root and 1/3 is a cube root, so 9^0.5 = 3 and 8^(1/3) = 2.
- What is any number raised to the power of zero?
- Any non-zero base raised to the power 0 equals 1, by the rules of exponents. The case 0^0 is a special, indeterminate form.
- How is this different from a root calculator?
- This tool raises a base to a power, while a root calculator solves the inverse — finding the base that produces a given value. You can mimic a root here by using a fractional exponent such as 0.5 for a square root.