Exponent Calculator
Raise any number to any power, and see the reciprocal and the equivalent root.
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bⁿ
bⁿ
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Reciprocal (1 ÷ bⁿ)
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Exponent Calculator by TheCalcTools
How the Exponent Calculator works
Enter the base and the exponent.
A positive whole exponent means repeated multiplication; a negative exponent means the reciprocal; a fractional exponent means a root.
Very large results may display in rounded form.
The formula
bⁿ = b × b × … × b (n times)b⁻ⁿ = 1 ÷ bⁿ
Worked example
Using the default values shown in the calculator:
| Base (b) | 2 |
|---|---|
| Exponent (n) | 10 |
- 2¹⁰ means ten 2s multiplied together.
- 2¹⁰ = 1,024.
- The reciprocal is 1 ÷ 1024 = 0.0010.
Result:
| bⁿ | 1,024.0000 |
|---|---|
| Reciprocal (1 ÷ bⁿ) | 0.0010 |
Frequently asked questions
What is a number to the power of 0?
Any non-zero number to the power of 0 is 1.
Why can't a negative base have a fractional exponent?
For example (−8)^(1/2) is the square root of a negative number, which is not a real number.
Sources and further reading
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This calculator gives estimates for information only. Check important results independently before you rely on them. See our disclaimer.