Exponent Calculator
Raise any base to any power, including negative and fractional exponents — the single operation behind compound growth, scientific notation, and a surprising amount of everyday scaling.
Inputs
Result
1,024
How the exponent calculator works
Base^exponent means the base multiplied by itself 'exponent' times for positive whole exponents.
A negative exponent means the reciprocal: base^(−n) = 1 ÷ base^n.
A fractional exponent means a root: base^(1/n) is the nth root of the base.
Worked example: 2^10, 2^(-2), and 8^(1/3)
- 2^10 = 1,024.
- 2^(−2) = 1 ÷ 2² = 1 ÷ 4 = 0.25.
- 8^(1/3) = cube root of 8 = 2.
Common mistakes to avoid
Reading a negative exponent as a negative result
Base^(−n) doesn't produce a negative number for a positive base — it produces the reciprocal, which is still positive. 2^(−2) is 0.25, not −4.
Confusing base^(1/n) with (base/n) or (base×n)
A fractional exponent is a root, not a division or multiplication — 8^(1/3) is 2 (the cube root), which is easy to mistake for 8÷3 ≈ 2.67 at a glance.
Frequently asked questions
What does raising a number to the power of 0 give?
Any non-zero base raised to the power 0 equals 1, by definition and consistent with the pattern of the exponent rules.
How do I compute a root, like a fifth root, using this?
Enter 1/5 (0.2) as the exponent — base^0.2 gives the fifth root of the base. The dedicated Root Calculator is a more direct route for pure root problems.
What happens with a negative base and a fractional exponent?
This can produce a complex result or be undefined in the real numbers, depending on the fraction — this tool is built for the common real-number cases and may not display a meaningful answer for those edge cases.
Is there a limit to how large the exponent can be?
Very large exponents will produce results in scientific notation or exceed floating-point precision — practically, results become approximate well before they become wrong.
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