Exponent Calculator
Calculate powers, scientific notation, and inverse exponents using x^n.
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Quick Tip
Enter the base — the number being multiplied.
About This Tool
Why use Exponent Calculator?
Exponents are repeated multiplication: xⁿ means x multiplied by itself n times, so 2¹⁰ = 1,024. Enter a base and an exponent and this calculator returns the power, the same result in scientific notation, the negative-exponent (reciprocal) value and the square root of the base.
Negative exponents are reciprocals rather than negative numbers: 2⁻³ = 1 ÷ 2³ = 0.125. A fractional exponent is a root, so x^(1/2) is the square root and x^(1/3) is the cube root. Anything raised to the power of 0 equals 1.
Key Benefits
Large results stay readable
Powers quickly grow beyond what is easy to read, so every result is also shown in scientific notation such as 1.024000e+3.
Negative and fractional exponents
Reciprocals and roots follow the same rules, and the reciprocal value is shown next to the main result.
Handles very large and very small numbers
Results beyond roughly 1.8 × 10³⁰⁸ exceed what a computer can represent and are reported as infinity rather than a wrong number.
How to use Exponent Calculator
- 1
Enter the base — the number being multiplied.
- 2
Enter the exponent, using a negative value for reciprocals.
- 3
Read the result, and use scientific notation when the number is too large to read comfortably.
- 4
Compare with the reciprocal and the square root shown alongside to check the relationship between powers and roots.
Best use cases
Check powers in algebra and physics homework.
Work out compound growth factors such as 1.08¹⁰.
Convert between standard and scientific notation.
Calculate binary sizes, where every step is a power of 2.
Exponent Calculator FAQs
What does a negative exponent mean?
It is the reciprocal of the positive power: x⁻ⁿ = 1 ÷ xⁿ. So 5⁻² = 1 ÷ 25 = 0.04. The result is smaller than 1, not negative.
Why is any number to the power of 0 equal to 1?
Dividing powers subtracts exponents: x³ ÷ x³ = x⁰. Since any number divided by itself is 1, x⁰ must be 1. The single exception is 0⁰, which is left undefined in most contexts.
How do fractional exponents work?
The denominator is a root and the numerator is a power: x^(3/2) is the square root of x, cubed. So 16^(3/2) = 4³ = 64.
What does scientific notation like 1.024e+3 mean?
It means 1.024 × 10³, or 1,024. The number after e is how many places to move the decimal point: positive to the right, negative to the left.
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