About the Exponent Calculator
The Exponent Calculator computes the value of a number raised to any power —
whether it’s a whole number, negative exponent, decimal exponent, or even a fraction.
This makes it an essential tool for students, engineers, scientists, programmers, and anyone
working with exponential relationships.
What the Calculator Can Compute
- Whole number exponents (e.g., 3⁴ = 81)
- Negative exponents (e.g., 10⁻² = 0.01)
- Decimal exponents (e.g., 5²·⁵ ≈ 55.9)
- Fractional exponents (e.g., 9^(1/2) = 3)
- Scientific notation
- Very large or very small powers
Formula Used
Exponentiation: xⁿ
Where:
x = base
n = exponent (power)
In more advanced math, fractional exponents correspond to roots:
x^(1/2) = √x
x^(1/3) = ∛x
x^(-n) = 1 / (xⁿ)
Examples
- 2⁵ = 32
- 10⁻² = 0.01
- 5²·⁵ ≈ 55.9
- 9^(1/2) = 3
- 8^(1/3) = 2
- (1.5)⁴ ≈ 5.06
- 100^(1.5) = 1000
Real-World Applications
- Compound interest (A = P(1 + r)ⁿ)
- Population growth and exponential modeling
- Physics (energy, decay, intensity formulas)
- Chemistry (reaction rates, pH calculations)
- Computer science (algorithm growth, powers of 2)
- Signal processing and scientific notation
Frequently Asked Questions
- What does the calculator do?
It instantly computes xⁿ for any real-number base and exponent.
- Does it support negative or decimal values?
Yes — both bases and exponents can be negative or decimal.
- Can I calculate roots?
Yes — roots are just fractional exponents (e.g., x^(1/2)).
- Why do I get Infinity?
Extremely large values exceed JavaScript’s number range (~10³⁰⁸).
- Where are exponents used?
Mathematics, physics, algorithms, compound interest, and growth models.