Free Exponents Calculator | Calculate Powers Online
Result:
2^3 = 8
How It Works
Enter Base
Input the base number you want to raise to a power
Enter Exponent
Input the power to which you want to raise the base
Common Examples
| Expression | Calculation | Result | Description |
|---|---|---|---|
| 2³ | 2 × 2 × 2 | 8 | Two cubed |
| 3² | 3 × 3 | 9 | Three squared |
| 5² | 5 × 5 | 25 | Five squared |
| 2⁴ | 2 × 2 × 2 × 2 | 16 | Two to the fourth power |
| 10² | 10 × 10 | 100 | Ten squared |
| 4³ | 4 × 4 × 4 | 64 | Four cubed |
Calculation Table
| Base | Exponent | Result | Use Case |
|---|---|---|---|
| 2 | 10 | 1,024 | Computer memory (1 KB) |
| 10 | 3 | 1,000 | Scientific notation |
| 1.05 | 10 | 1.629 | Compound interest (5% for 10 years) |
| 3 | 4 | 81 | Mathematical calculations |
| 6 | 2 | 36 | Area calculations (6×6 square) |
What is an Exponents Calculator?
What
An exponents calculator helps you find the result when a number is raised to a power. It calculates base^exponent quickly and accurately.
Why
Used in math homework, scientific calculations, compound interest, population growth, and computer science applications.
Applications
Mathematics education, engineering calculations, financial planning, scientific research, and data analysis.
Simple Explanation
Exponents are a short way to write repeated multiplication. Instead of writing 2 × 2 × 2 × 2, we can write 2⁴. The big number (2) is the base, and the small number (4) is the exponent. It tells you how many times to multiply the base by itself.
How to Use This Exponents Calculator
Enter the Base Number
Type the number you want to raise to a power in the first input box. This can be any positive or negative number, including decimals.
Enter the Exponent
Type the power to which you want to raise the base number. This tells the calculator how many times to multiply the base by itself.
Get Instant Results
The calculator automatically shows the result as you type. The answer appears in an easy-to-read format with proper formatting.
Why Use Exponents?
Benefits of Exponents
- ✓Save space: Write 10⁷ instead of 10,000,000
- ✓Calculate growth: Compound interest and population growth
- ✓Scientific notation: Express very large or small numbers
- ✓Computer science: Memory sizes and data processing
Real-World Applications
- •Banking and finance calculations
- •Engineering and physics formulas
- •Statistics and probability
- •Mathematical modeling
Special Exponent Rules
Power of 1
Any number to the power of 1 equals itself
5¹ = 5, 100¹ = 100
Power of 0
Any number to the power of 0 equals 1
5⁰ = 1, 999⁰ = 1
Negative Exponents
Negative exponents create fractions
2⁻³ = 1/2³ = 1/8
Fractional Exponents
Fractional exponents are roots
8^(1/3) = ∛8 = 2
Frequently Asked Questions
What is an exponent?
An exponent is a small number written above and to the right of a base number. It tells you how many times to multiply the base by itself.
How do you calculate exponents?
To calculate an exponent, multiply the base number by itself the number of times shown by the exponent. For example, 3² = 3 × 3 = 9.
What does x to the power of 0 equal?
Any number (except 0) raised to the power of 0 equals 1. This is a fundamental rule in mathematics.
Can exponents be negative?
Yes, negative exponents create fractions. For example, 2⁻³ = 1/2³ = 1/8 = 0.125.
What are exponents used for in real life?
Exponents are used in compound interest calculations, population growth models, scientific notation, computer memory measurements, and many engineering applications.