CONFIDENTIAL1 Warm-up:1.) 2 x 2 x 2 =8 2.) 5 x 5 =25 3.) 4 x 4 x 4 =64 4.)10 x 10 x 10 =1000

CONFIDENTIAL2 Remember that any number can be written as a product of Prime Factors. Example: The Number 32 can be written as 2 x 2 x 2 x 2 x 2

CONFIDENTIAL3 Example: The Number 32 can be written as 2 x 2 x 2 x 2 x 2 A product of prime numbers can be expressed using EXPONENTS and a BASE 2525

CONFIDENTIAL4 Numbers expressed using Exponents are called Powers WordsExpressionsValue to the fifth power 3 to the second power or 3 squared 10 to the third power or 10 cubed 2 x 2 x 2 x 2 x 2 3 x 3 10 x 10 x ,000

CONFIDENTIAL5 There are several symbols you might see for Multiplication 2 x 2 x 2 = * 2 * 2 = = 2 3..

CONFIDENTIAL6 Let's Practice... If we write 3 x 3 x 3 x 3 using an exponent, the base is 3 AND the exponent is = 3 4 = 81...

CONFIDENTIAL7 We can also refer to writing 4 5 as a PRODUCT OF THE SAME FACTOR (Remember that a "Product" is the answer to a multiplication problem.) The Base is 4. The Exponent is 5. So 4 is a Factor 5 times. 4 5 = 4 x 4 x 4 x 4 x 4 = 1,024

CONFIDENTIAL8 Your Turn! Write 7 x 7 x 7 using an Exponent. Then find its value. 7 3 = 343

CONFIDENTIAL9 Write 2 3 as a product of the same factor. Then find its value. 2 x 2 x 2 = 8

CONFIDENTIAL10 Exponents can be used to write the Prime Factorization of a number. Example: x x xx x x OR 2 3 x 3 (Start with the smallest prime factor)

CONFIDENTIAL11 Your Turn! Write the Prime Factorization of the number using Exponents x x xx x x OR 2 x 3 2 x 5

CONFIDENTIAL12 Your Turn! Write the Prime Factorization of the number using Exponents x x xx x x OR 2 3 x 3 x x x x 3 x 5

CONFIDENTIAL13 Any number to the 1 power equals itself. Example: 10 1 = = 5 2,345 1 = 2,345 Any number to the 0 power equals 1. Example:10 0 = = 1 2,345 0 = 1

CONFIDENTIAL14 Practice Problems: Write each product using an exponent. Then find its value. 1.) 2 x 2 x 2 x 2 = 2 4 = 16 2.) 6 x 6 x 6 = 6 3 = 216 Write each power as a product of the same factor. Then find its value. 3.)2 6 = 2 x 2 x 2 x 2 x 2 x 2 = 64 4.)3 4 = 3 x 3 x 3 x 3 = 81 Write the prime factorization of this number using exponents. 5.) x x xx x x OR 2 4 x x x 2 x 3 x

CONFIDENTIAL15 6.) Find the value of ) Find the value of = 5 = 1

CONFIDENTIAL16 Let us take a BREAK!

CONFIDENTIAL17 PUZZLES!? Which 7 letter word is the same read left to right and right to left? Racecar

CONFIDENTIAL18 Write the values for these powers of 10. a) 10 1 = 10 b) 10 2 = 100 c) 10 3 = 1,000 d) 10 4 = 10,000 e) 10 5 = 100,000 f) Describe the pattern for the powers of 10. The next value is found by dividing the previous power by 10

CONFIDENTIAL19 An estimated 10 9 people in the world speak Mandarin Chinese. About how many people speak this language? 10 9 = 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 1,000,000,000

CONFIDENTIAL20 1. Can you write this product using an exponent? 6 x 6 x 6 x 6 = Can you find the value of this product? 5 x 5 x 5 = 5 3 = Can you write this power as a product of the same factor? 3 6 = 3 x 3 x 3 x 3 x 3 x 3 4. Can you find the value of this power? 2 4 = 2 x 2 x 2 x2 Let's see how well we know Powers and Exponents!

CONFIDENTIAL21 6. Find the prime factorization of this number using exponents Can you find the value of this power? 57 0 = x xx OR 2 2 x 5

CONFIDENTIAL22 Well Done!! We learned that POWERS are numbers expressed using exponents. 3 4 We learned that a product of prime factors can be written using a Base and Exponents. 2 3 = 2 x 2 x 2 = 8 We learned how to find the value of x 4 x 4 = 64 We learned how to write the Prime Factorization of a number using exponents. 24 = 2 x 2 x 2 x 3 = 2 3 x 3