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Understanding Powers and Exponents: Vocabulary and Applications

Dive into the world of powers and exponents with a comprehensive guide covering essential vocabulary. Learn the meanings of key terms like base, exponent, and power, and see how they form the foundation of mathematical operations. Explore examples of squared and cubed numbers, factor forms, and standard forms. Understand the order of operations through practical exercises, and apply critical thinking to evaluate expressions. This resource is perfect for students eager to strengthen their grasp of exponents and their practical applications in mathematics.

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Understanding Powers and Exponents: Vocabulary and Applications

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  1. POWERS AND EXPONENTS

  2. POWERS & EXPONENTSVOCABULARY • FACTORS - numbers that are multiplied together. • BASE - the number being used as a factor. • EXPONENT- tells how many times a number is used as a factor.

  3. POWERS & EXPONENTSVOCABULARY • POWER - a number that is expressed using exponents. • SQUARED - a number that has an exponent of 2. • CUBED- a number that has an exponent of 3.

  4. EXPONENT FORM 2³ exponent base

  5. FACTOR FORM 2³ = 2 x 2 x 2 factors

  6. STANDARD FORM 2³ = 2 x 2 x 2 4x 2 8

  7. POWERSAND EXPONENTS 4³ 4 x 4 x 4 64 7² 7 x 7 49 5 m mm m m m

  8. Follow Order of Operations 5 + 3² - 8 5 + 3 x 3 - 8 5 + 9 - 8 14 - 8 6

  9. What is the value of m² + n³, if m=4 and n =5? 4² + 5³ 4 x 4 + 5 x 5 x 5 16 + 5 x 5 x 5 16 + 25 x 5 16 + 125 141

  10. CRITICAL THINKING: Exponent Form Factor Form Standard Form 10² 10 x 10 100 10³ 10 x 10 x 10 1000 4 10 x 10 x 10 x10 10000 10 20 How could you find 10 without using a calculator?

  11. A light year is the distance light travels in one year. The Milky Way galaxy is about 100,000 light years wide. Write 100,000 as a power with 10 as the base. 5 10

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