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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 = na    - rational exponent property

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