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1.2 Exponents and Powers

1.2 Exponents and Powers. An expression like is called a power . The exponent 3 represents the number of times the base 2 is used as a factor. Examples. Practice. A. 3 squared B. x to the fourth power C. s cubed. Evaluate the Power. Evaluate when x = 2 = = 16.

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1.2 Exponents and Powers

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  1. 1.2 Exponents and Powers An expression like is called a power. The exponent 3 represents the number of times the base 2 is used as a factor.

  2. Examples

  3. Practice A. 3 squared B. x to the fourth power C. s cubed

  4. Evaluate the Power Evaluate when x = 2 = = 16

  5. Grouping Symbols • Indicate the order in which the operations should be performed. • Operations within the innermost set of grouping symbols are done first • ( ) parentheses • [ ] brackets

  6. Evaluate Exponents a = 1 and b = 2 A. 5

  7. Practice a = 1 b = 2 B. (a + b)

  8. Exponents and Grouping x = 4 A. B.

  9. Real-Life Applications Exponents are often used in the formulas for area and volume. Squared and Cubed Area and Volume

  10. Finding Volume An aquarium has the shape of a cube. Each edge is 2.5 feet long. • Find the volume in cubic feet. • How many gallons of water will the cubic aquarium hold? Convert to liquid volume, where one cubic foot holds 7.48 gallons.

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