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POWERS AND EXPONENTS

POWERS AND EXPONENTS. POWERS & EXPONENTS VOCABULARY. 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. 2 3. 2 3. 2 3. 2 3. POWERS & EXPONENTS VOCABULARY. a number.

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POWERS AND EXPONENTS

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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. 23 23 23 23

  3. POWERS & EXPONENTSVOCABULARY a number • POWER - a number that is expressed using a base and an exponent. expressed using a base an exponent 2 4 = 16 POWER Number

  4. POWERS & EXPONENTSVOCABULARY Hmmm… Maybe you are wondering why this exponent is called a “SQUARE??? • SQUARED - a base that has an exponent of 2. 2 2 2 2 2 1 2 3 4 5 Me too! 1 Me too! 4 Me too! 9 . . . and so on. 1, 4, 9, . . . and so on 1 are square numbers! 2 3

  5. Hmmm… Maybe you are wondering why this exponent is called a “CUBE??? POWERS & EXPONENTSVOCABULARY • CUBED-a base that has an exponent of 3. 3 3 3 3 3 3 5 2 3 1 6 4 64 27 8 1 . . . and so on. 1, 8, 27, . . . and so on are cubic numbers!

  6. EXPONENTIAL FORM EXPONENTIAL FORM 2³ exponent base

  7. FACTORED FORM FACTORED FORM 2³ = 2 x 2 x 2 factors

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

  9. POWERSAND EXPONENTS 4³ 4  4  4 64 7² 7  7 49 Only possible when a value is assigned to m. 5 m m  m  m  m  m

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

  11. What is the value of m² + n³, ifm=4andn =5? 4² + 5³ 4 x 4 + 5 x 5 x 5 16 + 5 x 5 x 5 16 + 25 x 5 16 + 125 141

  12. 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 x 10 10000 10 20 How could you find 10 without using a calculator?

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

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