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4.1 Exponents

4.1 Exponents. Objective : To write and simplify expressions involving exponents. Warm – up : Simplify: 1) 3∙3 2 ) (-1)(-1) 3) 2∙2∙2 4) (-2)(-2)(-2)(-2)(-2) 5) 4∙4∙4. 4.1 Exponents. Introduction of Exponents. In this notation: 4 is the base 5 is the exponent

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4.1 Exponents

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  1. 4.1 Exponents • Objective: To write and simplify expressions involving exponents. • Warm – up: Simplify:1) 3∙3 2) (-1)(-1) 3) 2∙2∙24) (-2)(-2)(-2)(-2)(-2)5) 4∙4∙4

  2. 4.1 Exponents Introduction of Exponents In this notation: 4 is the base 5 is the exponent How are each determined? • The number 16 can be written as 4∙4 and is called a power of 4. • 41 = 4 (“four to the first power”) • 42= 4∙4 (“four to the secondpower”) • 43= 4∙4∙4 (“four to the third power”) • 44= 4∙4∙4∙4 (“four to the fourthpower”)

  3. 4.1 Exponents Write the following in exponential form: 64 a6 -6p6q6 • 6∙6∙6∙6 • a∙a∙a∙a∙a∙a • -2∙p∙q∙3∙p∙q∙p

  4. 4.1 Exponents Write the following in exponential form: Evaluate: x2 if x = -5 x3if x = -5 x4 if x = -5 x5if x = -5 • (2y)3 • 2y3

  5. 4.1 Exponents Simplify: Evaluate: (2a + b)2 if a = 3 and b = -2 if x = 2 and y = 5 • (1 + 5)2 • 1 + 52

  6. 4.1 Exponents Fun Facts!! • Exponents help with area and volume! 2xx A = • 10100, which is 1 with 100 zeros after it, is called a googol!! • Homework: • Pg. 143 Written Exercises#4 – 18 even, 20 – 22,24 – 30 even • Challenge Problems:#32 – 48 even

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