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For Learning to Happen! Remove all other thoughts from your mind. Pay close attention to this lesson. Try all of the examples. Ignore all other distractions.

copyright©amberpasillas2010 An exponent exponent consists of a power (the little number to the top right) and a base, the number under the power. 8 3 Base Exponent

copyright©amberpasillas Base Exponent This exponent is read 8 to the 3rd power, or 8 cubed.

copyright©amberpasillas Base Exponent An exponent tells how many times a number is multiplied by itself.

copyright©amberpasillas Base Exponent This exponent means 888 = 512

copyright©amberpasillas2010 This exponent is read six to the fourth power. 6 4 Base Exponent

copyright©amberpasillas2010 This exponent is read three to the 2 nd 2 nd power or three squared. 3 2 Base Exponent

copyright©amberpasillas2010 Read These Exponents 7 7 to the 2 nd power or 7 squared 2

Read These Exponents to the 3 rd power or 10 cubed 3

copyright©amberpasillas2010 What is the Exponent? =2 3

copyright©amberpasillas2010 What is the Exponent? a a a a = a 4

copyright©amberpasillas2010 What is the Exponent? (bc)(bc)(bc) = (bc) 3 NOTICE that you keep the parenthesis around the variables (bc) because you are cubing all the (bc)

copyright©amberpasillas2010 Write the Verbal Phase Power Verbal PhraseMeans “Seven to the 2nd power” “Seven squared” “Five to the 3rd power” “Five cubed”

copyright©amberpasillas2010 Write the Verbal Phase Power Verbal PhraseMeaning “Nine to the 4th power” “Two to the 5th power”

copyright©amberpasillas2010 How to Multiply Out Exponents =

copyright©amberpasillas2010 How to Multiply Out Exponents =

copyright©amberpasillas2010 When simplifying exponents you must watch the sign and the parenthesis! = 6 6 = 36 –6 2 = –6 6 = -36 (-6) 2 = (-6) ( -6) = 36 -(6) 2 = - (6) ( 6) 1 = -36

copyright©amberpasillas2010 An exponent is written in exponential form form when it is simplified. 32a332a332a332a3 Exponential Form

copyright©amberpasillas2010 An exponent is written in factor form form when it is written out. 32a332a332a332a3 = 33aaa Factor Form

copyright©amberpasillas2010 Factored FormExponential Form x 8 y 8 x 8 2 x 2 y a b a 2 2a 2 b 1 13 p p p r r 13p 3 r 2

copyright©amberpasillas2010 Factored FormExponential Form 5 x x x 5x 3 (5x) 3 (5x)(5x)(5x) = 5 3 x 3 = 125x 3

copyright©amberpasillas2010 Factored FormExponential Form 8(ab)(ab) 8(ab) 2 = 4 3 x 3 w 3 y 3 (4xwy) 3 (4xwy)(4xwy)(4xwy) = 8a 2 b 2 = 64x 3 w 3 y 3

copyright©amberpasillas2010 Evaluate the expression if x = 3 and y = 4 “Evaluate” mean to solve!

Evaluate the expression if x = 3 and y = 4 “Evaluate” mean to solve!

copyright©amberpasillas2010 Fractions With Exponents

Fractions With Exponents

copyright©amberpasillas2010 Fractions With Exponents

copyright©amberpasillas2010 An exponent tells how many times a number is multiplied by itself. 8 3 Base Exponent #1 Factored Form 3 3 a a a Exponential Form 3 2 a 3 x y x 2 2x 2 y 1 888= 512

copyright©amberpasillas2010 # 2 When s implifying exponents you must watch the sign and the p arenthesis ! = 5 5 = 25 –5 2 = – (5) ( 5) = –25 (-5) 2 = (-5) ( -5) = 25 –(5) 2 = - (5) ( 5) = –25 1

copyright©amberpasillas2010 Get ready for some classwork!