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copyright©amberpasillas2010

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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

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copyright©amberpasillas2010 n n n n x 3 x x x = exponent Base When The Bases Are The Same x a = x b x a + b n 3 = n 2 n 3 + 2 Ex: = = n 5 n 5 ADD EXPONENTS!

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copyright©amberpasillas2010 1) 2) 3) 4) 5) 6) HINT: Multiply coefficients

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copyright©amberpasillas2010 ( ) Power to Power Rule x a = b x ab n 3 2 (n n n) Ex: 2 = = n 6 = n 3 2 = n 6 When You Have an Exponent On The Outside of Parenthesis MULTIPLY EXPONENTS!

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copyright©amberpasillas2010 1) 2) 3)4)

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copyright©amberpasillas2010 Prime Numbers- A Prime number is a whole number with only 2 factors, one and itself. Composite Numbers- A Composite number is a number that has more than two factors. Example: 2, 3, 5, 7, 11, 13, 17… Example: 4, 6, 8, 9, 10, 12, 14, 15…

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copyright©amberpasillas2010 Composite Number - Composite numbers can be written as the product of prime numbers. This is called: Prime Factorization - Prime Factorization is the unique set of prime numbers whose product equals a given number.

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Prime Factorization is when you write a number as the product of prime numbers. Factor Tree 36 2 18 2 9 3 3 Circle the prime numbers

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copyright©amberpasillas2010 Write the prime factorization of the number 24. 24 2 12 2 6 4 6 2 3 2 2 2 3 Circle the prime numbers Notice you get the same answer doing it two different ways! No matter how your start, you will get the same answer! That is why prime factorization is so unique!

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copyright©amberpasillas2010 96 2 48 6 8 2 3 2 4 2 2 Notice we put them in order from least to greatest

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copyright©amberpasillas2010 240 2 120 2 60 2 30 2 15 3 5

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copyright©amberpasillas2010 9ab 9 ab a b 3 3

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copyright©amberpasillas2010 6 m m 2 3

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== Write each expression in FACTOR FORM t hen simplify.

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== Write each expression in FACTOR FORM then simplify.

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copyright©amberpasillas2010 == Write each expression in FACTOR FORM then simplify.

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copyright©amberpasillas2010 12 18 2 3 ÷ 6 6 = Simplify or Reduce this fraction.

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copyright©amberpasillas2010 12 20 3 5 ÷ 4 4 = Simplify or Reduce this fraction.

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copyright©amberpasillas2010 9 21 3 7 ÷ 3 3 = Simplify or Reduce this fraction.

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Take Out Your Study Guide!!! copyright©amberpasillas2010

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#13 = x 8+5 x 8 x 5 (4a 7 b) 3 = 4 3 a 7 3 b 3 = x 13 = 64 a 21 b 3 Product of a Power Property Power of a Power Property = (-12) 2 (-3 4) 2 =144 Power of a Product Property = (-12)(-12)

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copyright©amberpasillas2010 Prime Factorization is when you write a number as the product of prime numbers. Factor Tree 36 #14 2 18 2 9 3 3 Circle the prime numbers

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copyright©amberpasillas2010 Factoring #15 1) == 2) == 12 2 6 2 3

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Slide 2 - 1 Copyright © 2009 Pearson Education, Inc. Unit 1 Number Theory MM-150 SURVEY OF MATHEMATICS – Jody Harris.

Slide 2 - 1 Copyright © 2009 Pearson Education, Inc. Unit 1 Number Theory MM-150 SURVEY OF MATHEMATICS – Jody Harris.

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