Exponent Power Calculator
Calculate base raised to any power. Supports integers, decimals, negative exponents, and scientific notation with exponential growth charts.
Floating-point limits apply. This tool uses standard JavaScript IEEE 754 double precision. Results exceeding ~1.79 × 10³⁰⁸ will display as Infinity. For arbitrary precision, use a BigInt library.
Exponent Calculator
Compute xⁿ for any base and exponent.
What this calculator covers
Powers, roots, and scientific notation from your inputs.
Any power
Integer, decimal, or negative exponents.
Scientific notation
Auto-formats very large/small numbers.
Growth chart
Visualize the exponential curve.
Export data
Download power table as TXT or CSV.
Your calculation result
Scientific Notation
0
Expansion
—
Base (x)
0
Exponent (n)
0
Exponential Growth
Power Table
| Exponent | Calculation | Result |
|---|
Results use IEEE 754 double precision (approx 15-17 significant digits). Values exceeding ~1.79 × 10³⁰⁸ will display as Infinity.
Formulas & exponent rules
The fundamental laws of powers and how they behave.
Squares & Cubes
The most common powers.
Use case
Calculating areas (square meters) and volumes (cubic meters) in construction, physics, and geometry.
Formula & example
x³ = x × x × x (Cube)
5² = 25; 2³ = 8
Who uses it
- Students
- Architects
- Engineers
Negative & Zero Powers
Rules for special exponents.
Use case
Understanding decay rates, reciprocals, and the fundamental identity of multiplication.
Formula & example
x⁰ = 1 (Identity)
2⁻³ = 1/8 = 0.125
Who uses it
- Physicists
- Financial analysts
- Programmers
Scientific Notation
Handling very large numbers.
Use case
Expressing astronomical distances, atomic sizes, or computing memory limits (2³², 2⁶⁴) concisely.
Formula & example
10⁶ = 1,000,000
Displayed as: 1e+6
Who uses it
- Scientists
- Computer scientists
- Data analysts
What this calculator includes — and what it leaves out
Standard floating-point math; the precision limits are named, not hidden.
Tool limits
- IEEE 754 double precision — 15-17 significant digits
- Max value ~1.79 × 10³⁰⁸ (then Infinity)
- Expansion string limited to n ≤ 10 for readability
- Works on desktop, tablet, and mobile with no install
What this tool does
- Calculates xⁿ for any real number base and exponent
- Converts to scientific notation automatically
- Draws an exponential growth line chart
- Generates a power table and exports to TXT/CSV
What this tool does NOT do
- It doesn't perform symbolic algebra or simplify expressions
- It doesn't support arbitrary precision (BigInt) for massive integers
- Calculations run in your browser; the tool does not save your inputs
- It isn't a substitute for a CAS (Computer Algebra System)
Standards & references
Where these mathematical concepts come from, plus related tools on this site.
Questions about exponents
Straight answers on powers, roots, and notation.
Basics & rules
What is a power of 0?
Any non-zero number raised to the power of 0 equals 1. For example, 5⁰ = 1 and 100⁰ = 1. This is a fundamental rule of exponents.
How do negative exponents work?
A negative exponent tells you how many times to divide 1 by the number. For example, 2⁻³ = 1 / (2³) = 1/8 = 0.125.
Can I use decimals?
Yes, this calculator supports decimal bases (e.g., 2.5) and decimal exponents (e.g., x^0.5 which calculates the square root).
Advanced & limits
What is scientific notation?
Scientific notation expresses numbers as a coefficient multiplied by 10 raised to a power (e.g., 1.5e+10). This tool automatically converts very large or very small results into this format.
Why did I get 'Infinity'?
JavaScript numbers have a maximum limit (approx 1.79e+308). If your calculation exceeds this, the result is Infinity. This is a limit of standard floating-point arithmetic, not the tool itself.
Calculate powers instantly
No signup required. Exponents, scientific notation, and growth charts — computed in your browser.