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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 · 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 = an - m   - quotient of powers property
8.a1/n = na   - rational exponent property
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