Exponent Calculator

Basic rules of exponentiation

1. Product of powers with the same base

a^m · aⁿ = a^m+n

2³ · 2⁴ = 2⁷

2. Quotient of powers with the same base

a^m : aⁿ = a^m−n, a ≠ 0

5⁶ : 5² = 5⁴

3. Power of a power

(a^m)ⁿ = a^m·n

(3²)⁴ = 3⁸

4. Power of a product

(ab)ⁿ = aⁿ · bⁿ

(2·3)³ = 2³ · 3³

5. Power of a fraction

(a / b)ⁿ = aⁿ / bⁿ, b ≠ 0

(2 / 5)² = 4 / 25

6. Zero exponent

a⁰ = 1, a ≠ 0

7. Negative exponent

a⁻ⁿ = 1 / aⁿ, a ≠ 0

Zero cannot be raised to a negative power.

2⁻³ = 1 / 8

8. Power with exponent 1

a¹ = a

9. Raising 0 to a power

0ⁿ = 0, n > 0

0⁰ = 1

10. Raising a negative number to a fractional power

The result will be a complex number.

Table of powers for numbers from 1 to 10