Exponent Calculator
Calculate the value of a number raised to any power. Computes base^exponent for any real numbers.
Résultat
1,024.000000
Formule
## How Exponents Work ### Definition **b^n = b × b × b × ... (n times)** ### Key Rules - b^0 = 1 (any nonzero number to the zero power is 1) - b^1 = b - b^(-n) = 1/b^n - b^(m+n) = b^m × b^n - (b^m)^n = b^(mn) - b^(1/n) = nth root of b
Exemple Résolu
Calculate 2^10.
- 012^10 = 2×2×2×2×2×2×2×2×2×2
- 02= 1024
- 03Reciprocal: 2^(-10) = 1/1024 ≈ 0.000977
Questions Fréquentes
What is an exponent?
An exponent tells you how many times to multiply a number by itself. In b^n, b is the base and n is the exponent.
What is any number to the power of 0?
Any nonzero number raised to the power of 0 equals 1. This is by mathematical convention and follows from the pattern of dividing.
Can exponents be negative or fractional?
Yes. A negative exponent means the reciprocal: 2^(-3) = 1/8. A fractional exponent means a root: 8^(1/3) = 2 (the cube root of 8).
Apprendre