Formulas of exponents are used in the reduction and simplification of expressions, and help in solving equations and inequalities.
| 1. |
a0 = 1 (a ≠ 0) |
- zero exponent property |
| 2. |
a1 = a |
- any number raised by the exponent 1 is the number itself |
| 3. |
an · am = an + m |
- product of powers property |
| 4. |
(an)m = anm |
- power of a power property |
| 5. |
anbn = (ab)n |
- power of a product property |
| 6. |
a-n = 1/an |
- negative exponent property |
| 7. |
an/am = an - m |
- quotient of powers property |
| 8. |
a1/n = n√a |
- rational exponent property |
