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QUESTION/PROBLEM What is an exponent? In 52 what is the 5? RESPONSE An exponent tells how many times a number called the ______ is used as a ________. The 5 is called the ______. What is 5x5x5x5 written in exponential notation? _________ What is 4x4x4 written in exponential notation? _________ What is 2x2x2x2x2 written in exponential notation? _____________ What is 54 written as a product and its solution? ______________ 3 What is 3 written as a product and its solution? What is 103 written as a product and its solution? If the exponent is 2, you say . . . ? ________________ _______________ _________ If the exponent is 3, you say . . . ? How would How would How would How would How would 10 you write/say 7 ? you write/say 104? you write/say 113? you write/say 42? you write/say 56? What is the rule for the power of zero? ____________ Seven to the ____________ Ten to the ___________ Eleven ________ Four _____________ Five to the _________ An exponent tells how many _________ a number called the __________ is used as a __________________. Exponents, Part II Questions What is the trick if 10 is the base? Example: Write in standard form. 104 Example: Write in standard form. 108 How do I add or subtract numbers if they have exponents? Example #1: 23 + 3 2 Example #2: Write in standard form. 42 + 5 2 Practice: Write in standard form. 32 - 51 Practice #2: Write in standard form. 103 - 120 Answers If 10 is used as a ____, the exponent tells how many _____ there should be after the _____. Answer: __________ Answer: ____________ 1. Simplify the ___________. 2. Add or ________ numbers as usual. 1. Simplify exponents: 23 = __________= 8 32 = _________= 9 2. Add simplified numbers: ___+ ____ = 17 42 = _______= 16 52 = _________ = 25 ________ = 41 The answer in standard form is ____ Answer = _________ Answer: _________ Exponents, Part II Questions What is the trick if 10 is the base? Example: Write in standard form. 104 Example: Write in standard form. 108 How do I add or subtract numbers if they have exponents? Example #1: 23 + 3 2 Example #2: Write in standard form. 42 + 5 2 Practice: Write in standard form. 32 - 51 Practice #2: Write in standard form. 103 - 120 Answers If 10 is used as a base, the exponent tells how many zeros there should be after the 1. Answer: 1000 Answer: 100,000,000 3. Simplify the exponents. 4. Add or subtract numbers as usual. 2. Simplify exponents: 23 = 2 x 2 x 2 = 8 32 = 3 x 3 = 9 3. Add simplified numbers: 8 + 9 = 17 2 4 = 4 x 4 = 16 52 = 5 x 5 = 25 16 + 25 = 41 The answer in standard form is 41. Answer = 4 Answer: 99