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Whole number exponents

Laws of Exponentiation

Law 1   a^m X aⁿ = a^{m + n}

Example

a³ X a² = a³⁺² = a⁵

Law 2   (a^m)ⁿ = a^mXn

Example

(a³)² = a^3X2 = a⁶

Law 3    = a^m-n if m > n and a 0

Example

= a^5-3 = a²

Law 4    = if m < n and a 0

Example

Law 5   (a X b)^m = a^m X b^m

Example

(a X b)³ = a³ X b³

Law 6   ()^m = and b 0

Example

()² =

Before proceeding to the exercises, ensure that you have a pencil and some paper handy.


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