**Definitions and Rules for Exponents**

For all integers *m *and *n *and all real numbers *a *and *b*, the following rules apply.

Product Rule a^{m}.a^{n} = a ^{m+n}

Quotient Rule = a^{m-n}(a ≠ 0)

Zero Exponent a^{0} = 1 (a ≠ 0)

Negative Exponent a ^{–n } = (a ≠ 0)

Power Rules (a^{m})^{n }= a^{mn}

(ab)^{m } = a^{m}b^{m}

Special Rules