Power Calculator
Raise any base to any exponent, including negative and fractional exponents.
Written by Golam Rabbani, Founder & Lead Engineer
How to use this power calculator
- Enter the base in the Base field.
- Enter the exponent in the Exponent field — negative and fractional values are allowed.
- Press Calculate to see the result and the working.
- Use Copy to put the result on your clipboard, or Reset to clear the inputs.
About this power calculator
The power calculator raises any base to any exponent. It supports positive, negative, and fractional exponents, so you can compute conventional powers, reciprocals, and roots from one form.
The formula is base^exponent. For a positive integer exponent n, this means multiplying the base by itself n times: 2^10 = 1024. A negative exponent gives a reciprocal: 2^−3 = 1 ÷ (2 × 2 × 2) = 0.125. A fractional exponent expresses a root: 16^0.5 = √16 = 4, and 27^(1/3) = ∛27 = 3. Any non-zero base raised to the power of zero is 1. The calculator blocks two edge cases that have no real result: zero raised to a negative exponent (division by zero) and a negative base with a fractional exponent (would produce a complex number).
Worked example using roots: a material science formula requires the cube root of 512 to find a side length. Enter base = 512, exponent = 0.3333 (i.e. 1÷3) and press Calculate — the result is 8, because 8 × 8 × 8 = 512. Use cases include compound growth modelling, physics (inverse-square laws), engineering, and any place repeated multiplication or roots are needed.
FAQ
- What does the power calculator do?
- It raises any base to any exponent and shows the result. The exponent may be positive, negative, or fractional, so the same tool covers regular powers, reciprocals, and roots.
- What formula does it use?
- It uses base^exponent. Positive integer exponents multiply the base by itself that many times; negative exponents yield a reciprocal; fractional exponents express a root (e.g. b^(1/n) = n-th root of b).
- What is the difference between this and the exponent calculator?
- They compute the same operation. The power calculator emphasises the base × itself × itself view; the exponent calculator focuses on b^n notation and shows the result in scientific notation as well.
- Why does a negative base with a fractional exponent return an error?
- A negative base raised to a non-integer exponent does not have a real result. For example, (−4)^0.5 is the square root of a negative number, which is imaginary. The tool returns real numbers only.
- Does this tool store my numbers?
- No. The calculation runs entirely in your browser; nothing is sent to a server or saved between visits.
- Is the power calculator free?
- Yes. It is free to use with no signup, no account, and no usage limit.