 # Using Exponential Notation. 3∙3∙3∙3∙3 can be written as 3 is a factor 5 times exponent Base Read as “three to the fifth power”

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Using Exponential Notation

3∙3∙3∙3∙3 can be written as 3 is a factor 5 times exponent Base Read as “three to the fifth power”

ExpressionsIn Words 5²“five to the second power” or “five squared 5³“five to the third power” or “five cubed” 5⁴5⁴ “five to the fourth power”

5 is the base to the exponent 4 Multiply -1 times four factors of 5 Parentheses indicate that -5 is the base to the exponent 4. Multiply four factors of -5 = (-5)(-5)(-5)(-5) = 625 An exponent applies only to its base. For example: Helpful Hint

Don’t forget that 2 ⁴, for example, is not 2∙4. The expression 2⁴ means repeated multiplication of the same factor. 2⁴ = 2∙2∙2∙2 = 16 whereas 2∙4= 8

 Order of Operations  1. Perform all operations within parentheses( ), brackets [ ], or other grouping symbols such as fraction bars, starting with the innermost set.  2. Evaluate any expressions with exponents.  3. Multiply or divide in order from left to right.  4. Add or subtract in order from left to right P E M D A SP E M D A S

Pg. 71-72 1-85 odd

Evaluating Algebraic Expressions

3 + x 5 ∙ y 2 ∙ z -1 + x x³

Determine whether the given number is a solution to the equation. Substitute 5 for x. Simplify Right-hand side equals the left=hand side. Thus, 5 is a solution to the equation 4x = 20 4x = 20 x = 5

ADDITION: a + bSUBTRACTION: a - b The sum of a and b The difference of a and b a plus ba minus b b added to ab subtracted from a b more than aa decreased by b a increased by bb less than a the total of a and b