Four calculators, one panel.
Pick a mode below — everything recalculates live as you type, and every result explains itself.
The number being multiplied by itself — whole, decimal, positive or negative.
How many times — negatives give reciprocals, decimals like 0.5 give roots.
The value under the radical sign — e.g. 144, 27, 2 or −8.
2 = square root, 3 = cube root, 4 = fourth root… must be a whole number.
Positive for large numbers, negative for small ones — decimals allowed.
Any number — integer bases give exact values, digit by digit.
The table runs from power 0 up to this — a whole number from 1 to 30.
Four steps, ten seconds.
No manual needed — this is the whole workflow, start to finish.
Pick a mode
Power, root, powers of ten or a full table — the tabs at the top of the calculator switch instantly, and each one keeps its own inputs.
Type your numbers
Enter a base and an exponent — or a number and a root degree. Results update live on every keystroke; there is no calculate button to hunt for.
Read the full answer
Every result shows the exact value, scientific notation, the fraction or root form where relevant, and the formula that produced it.
Copy or explore
Hit COPY to take the whole result with you, or tap an example chip to load a worked case instantly and see how the numbers behave.
The laws behind the buttons.
Six rules cover almost every power you will ever meet — the calculator applies all of them for you.
The basic power
The exponent counts how many copies of the base get multiplied. 2⁵ = 2 × 2 × 2 × 2 × 2 = 32.
The zero power
Multiply zero copies of the base and you are left with the empty product — 1. It holds for every non-zero base.
Negative powers
A negative exponent flips the base into its reciprocal: 2⁻³ = 1/2³ = 1/8 = 0.125. The result is small, not negative.
Fractional powers
A fractional exponent is a root in disguise: 8^(2/3) = (∛8)² = 2² = 4, and 9^0.5 is simply √9 = 3.
Roots as powers
Every root is a power with a reciprocal exponent. ∛64 = 64^(1/3) = 4, because 4³ = 64.
Combining powers
Multiply same-base powers by adding exponents; raise a power to a power by multiplying them. 2³ · 2² = 2⁵ = 32.
Questions, answered.
The eight things people ask most about powers, roots and this calculator — answered plainly.
How do I calculate the power of a number?+
Multiply the base by itself as many times as the exponent says: bⁿ = b × b × ⋯ × b with n factors. For example 2⁴ = 2 × 2 × 2 × 2 = 16. Type the base and exponent into the Power tab and the calculator handles the rest — including negative, fractional and very large exponents.
What does a negative exponent mean?+
A negative exponent means "take the reciprocal": b⁻ⁿ = 1 / bⁿ. So 2⁻³ = 1/2³ = 1/8 = 0.125. The result is not negative — it is a fraction. The calculator shows the exact fraction and the decimal side by side.
Why is anything to the power of 0 equal to 1?+
Each time the exponent rises by 1 you multiply by the base once more; each time it falls by 1 you divide by the base. Stepping from b¹ down to b⁰ divides by b once, leaving 1 — true for every non-zero base.
0⁰ is the famous exception: undefined in pure physics, but taken as 1 by convention in almost all textbooks and calculators, including this one.
How are fractional exponents and roots related?+
A fractional exponent is a root in disguise: b^(1/n) is the n-th root of b, and b^(p/q) = (ⁿ√b)^p. For example 9^0.5 = √9 = 3 and 8^(2/3) = (∛8)² = 4.
Enter 0.5 as an exponent for a square root, 0.25 for a fourth root — or simply use the Root tab.
How does the calculator show huge powers like 2¹⁰⁰⁰ exactly?+
When the base is an integer and the exponent is a whole number, the tool switches to arbitrary-precision arithmetic and prints every digit — 2¹⁰⁰⁰ has 302 of them. Scientific notation is shown alongside, and the full exact value can be copied with one click.
Why does a negative base with a fractional exponent give an error?+
Because the result is not a real number. An even root of a negative value requires complex numbers: (−4)^0.5 = 2i. Odd roots are fine — (−8)^(1/3) = −2 — and the calculator does compute them whenever the denominator of the exponent is odd.
What is the difference between the base, the exponent and the power?+
In bⁿ, the base b is the number being multiplied, the exponent n counts how many times it is multiplied, and the power is the result. In 2⁵ = 32: base 2, exponent 5, power 32. In everyday speech "power" is often used for the exponent too — context makes it clear.
Is this calculator free, and is my data sent anywhere?+
It is completely free and runs entirely in your browser — nothing you type is uploaded, logged, or sent to a server. No account, no sign-up, no limits.