Exponents and Powers Power – the result of raising a base to an exponent. Ex. 32 Base – the number being raised to the exponent. Ex. 32 3 is the base.

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Exponents and Powers Power – the result of raising a base to an exponent. Ex. 32 Base – the number being raised to the exponent. Ex. 32 3 is the base Exponent – the number the base is being raised to. Ex. 32 2 is the exponent

Example Problems Simplify the following expressions. Write your answer in expanded and standard notations. 33 23 32 52 210

Exponents and Grouping Symbols To evaluate powers involving grouping symbols: (ab)2 = (ab)(ab) = a x a x b x b = a2b2 The power is applied to each value within the parenthesis. (This applies only when there is one term in parenthesis raised to a power)

Example Problems (ab)2 (7a2)3 (23b2c)3

Square Roots Square root – the square root of a number x is a number y which when multiplied by itself (y2) is equal to x. Perfect square – a number whose square root is a whole number. Example 9 = 3 x 3 Square root symbol (Radical Symbol)- the symbol used to denote square root. Number that I want the square root of Square root symbol

Example Problems Evaluate each square root. You may use a calculator.