lesson 6

# Equations and Inequalities

Rules for Equality: For all real numbers a, b, and c, if a = b, then the following rules are valid.

lesson 3

# Exponents

• Rules of Exponentiation: For real numbers a and b and natural numbers m and n:

$${{\rm{a}}^{\rm{m}}} \times {\rm{ }}{{\rm{a}}^{\rm{n}}}{\rm{ = }}{{\rm{a}}^{{\rm{m + n}}}}$$

$${{{a^m}} \over {{a^n}}} = {a^{m - n}}$$

$${\left( {{a^m}} \right)^n} = {a^{mn}}$$

$${\left( {ab} \right)^n} = {a^n}{b^n}$$

$${\left( {{a \over b}} \right)^n} = {{{a^n}} \over {{b^n}}}$$

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