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Lesson 1.5

Lesson 1.5. Integer Exponents Pages 10-11. Vocabulary. Exponential Form- Example: Writing 2 X 2 X 2 as 2³ Base- The repeated factor; in this case, 2 Exponent/Power- How many times the base is used; in this case, 3 Squared- Using 2 as an exponent Cubed- Using 3 as an exponent.

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Lesson 1.5

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  1. Lesson 1.5 Integer Exponents Pages 10-11

  2. Vocabulary • Exponential Form- Example: Writing 2 X 2 X 2 as 2³ • Base- The repeated factor; in this case, 2 • Exponent/Power- How many times the base is used; in this case, 3 • Squared- Using 2 as an exponent • Cubed- Using 3 as an exponent

  3. Zero Exponents • For any nonzero number a, a^0 = 1 • Example: 5^0 = 1 • Simply put, a zero exponent means the expression has a value of 1.

  4. Law of Exponents for Division • For any real number a (a ≠ 0), and integers m and n, a^m ÷ a^n = (a^m) / (a^n) = a^(m-n) • Ex: 5^7 ÷ 5³ = (5^7) / (5^3) = 5^(7-3) = 5^4 *You may leave your answer in exponential form.*

  5. Law of Exponents for Multiplication • For any real number a (a ≠ 0), and integers m and n, a^m x a^n = a^(m+n) Ex: (5)²(5)³ = 5^(2+3) = 5^5. Again, you may leave your answer in this form.

  6. Negative Exponents • For any nonzero number a and any integer n, a^(-n) = 1/(a^n) • Ex: 3^(-4) = 1/(3^4)

  7. Practice • 5^1 x 5^(-4) x 5^3 • = 5^(1 + -4 + 3) • = 5^0 • = 1 *Remember, any number to the zero power equals 1*

  8. Upcoming Slides… Since it is near impossible to display some of the symbols using a keyboard, the following two slides demonstrate some of the work we did in class. I apologize in advance for the handwriting.

  9. Homework • Workbook pgs. 9-10 (Even numbers) • #46 = Bonus

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