Exponent Calculator
Raise any base to any power, including negative and fractional exponents.
Exponent Calculator
Raise any base to any power, including negative and fractional exponents.
How to use the Exponent Calculator
- Enter the base value.
- Enter the exponent.
- Click Calculate.
Formula
b^n = b × b × ... × b (n times)
b^(-n) = 1 / b^n
b^0 = 1
Example
3^4 = 3 × 3 × 3 × 3 = 81
2^(-3) = 1/8 = 0.125
Step-by-step calculation
- Multiply the base by itself the specified number of times.
- For negative exponents, take the reciprocal.
- 3^4: 3×3=9, 9×3=27, 27×3=81.
Real-world uses
- Compound interest calculations.
- Scientific notation and scaling.
- Physics and engineering formulas.
Common mistakes
- Confusing 2^3 (8) with 3^2 (9).
- Forgetting that anything to the power of 0 equals 1.
- Not handling negative bases with fractional exponents carefully.
Frequently asked questions
What is 0^0?
By convention, 0^0 = 1 in most contexts, though some mathematical frameworks treat it differently.
What does a negative exponent mean?
It means taking the reciprocal: 2^(-3) = 1/2³ = 1/8.
Can the exponent be a decimal?
Yes. 9^0.5 = √9 = 3. Fractional exponents represent roots.