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Chapter 1 – Connections to Algebra

Chapter 1 – Connections to Algebra. 1.2 – Exponents and Powers. 1.2 – Exponents and Powers. In this section we will learn how to: Evaluate expressions containing exponents Use exponents in real-life problems. 1.2 – Exponents and Powers. An expression like 3 2 is called a power.

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Chapter 1 – Connections to Algebra

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  1. Chapter 1 – Connections to Algebra 1.2 – Exponents and Powers

  2. 1.2 – Exponents and Powers • In this section we will learn how to: • Evaluate expressions containing exponents • Use exponents in real-life problems

  3. 1.2 – Exponents and Powers • An expression like 32 is called a power. • 3 is the base • 2 is the exponent • 32 is the power

  4. 1.2 – Exponents and Powers Express the meaning of the power in words and then with numbers or variables • 81 • 8 to the first power • 8 • 62 • 6 to the second power, or 6 squared • 6·6 • 43 • 4 to the third power, or 4 cubed • 4·4·4 • 97 • 9 to the seventh power • 9·9·9·9·9·9·9 • yn • y to the nth power • y·y·y·y·y…y

  5. 1.2 – Exponents and Powers • Example 1 • Evaluate the expression x4 when x = 3.

  6. 1.2 – Exponents and Powers • GROUPING SYMBOLS • When a problem has more than one operation, grouping symbols, such as parentheses () can tell you which operation should be performed first.

  7. 1.2 – Exponents and Powers • Example 2 • Evaluate the expression when a = 3 and b = 4. • (a + b)3 • a + (b3)

  8. 1.2 – Exponents and Powers • Example 3 • Evaluate the expression when a = 2 and b = 3. • (a + b)2 • a2 + b2

  9. 1.2 – Exponents and Powers • Example 4 • Evaluate the expression when x = 5 • 3x2 • (3x)2

  10. 1.2 – Exponents and Powers • Example 5 • Evaluate the expression when x = 2. • 4x3 • (4x)3

  11. 1.2 – Exponents and Powers • Exponents are used in formulas in everyday life. They are most commonly used to find area and volume. • The terms squared and cubed come from the area of a square, A = s2, and the volume of a cube, V = s3

  12. 1.2 – Exponents and Powers • Example 6 • A square had side lengths of 30 feet. What is the area of the square?

  13. 1.2 – Exponents and Powers • Example 7 • A tank has the shape of a cube. Each edge is 4.5 feet long. What is the volume of the tank? • How many gallons of water will the tank hold if one cubic foot holds 7.48 gallons?

  14. 1.2 – Exponents and Powers HOMEWORK BRING BOOK TOMORROW!!!!

  15. 1.2 – Exponents and Powers HOMEWORK Page 12 #18 – 46 even, 56 – 66 even

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