2. Exponents

3. Two or more numbers that are multiplied together to form a product are called factors. Two or more numbers that are multiplied together to form a product are called factors. When the same factor is used, you may use an exponent to simplify the notation. When the same factor is used, you may use an exponent to simplify the notation. 16 = 2 2 2 2 = 2 4 The dots indicate multiplication. Common factors The base is the common factor. The exponent tells how many times the base is repeated.

4. Numbers expressed using exponents are called powers. Numbers expressed using exponents are called powers. PowersWords Five to the second power OR Five squared Four to the third power OR Four cubed Two to the fourth power 52525252 43434343 24242424

5. Write each power as a product of the same factor. 14 2 14 × 14 54545454 5 5 5 5 75757575 7 × 7 × 7 × 7 × 7

6. Write each product in exponential form. 11 11 11 11³ 3 × 3 × 3 × 3 × 3 ×3 36 15 15 8 8 15² 8 8² 7 × 7 × 7 × 3 × 3 73 × 32

7. Evaluate each expression. Find the standard form. 3 squared 32323232 3 × 3 9 4 2 × 3 3 4 × 4 × 3 × 3 × 3 16 × 27 432

8. Evaluate each expression. Find the standard form. ten to the fifth power 10 5 10 10 10 10 10 100,000 three to the fourth power 34343434 3 × 3 × 3 × 3 9 × 9 81

9. ExponentFormFactorForm Standard Form 2525 2 x 2 x 2 x 2 x 2 32 7272 7 x 749 4343 4 x 4 x 464 10 4 10 x 10 x 10 x 10 10,000 5353 5 x 5 x 5 125

11. Exponents tell how many times a number, called a BASE, is used as a factor. 6² = 6 x 6 In 6 x 6, 6 is used as a factor twice. When you compute 6 x 6 or 6², you are finding the SQUARE of 6. 6 6

12. Find the squares of the following numbers: 1) 8 = 2) 12 = 3) 9 = 4) 10 = 64 144 81 100 ( 8 x 8 ) ( 12 x 12 ) ( 9 x 9 ) ( 10 x 10 ) 2 2 2 2

13. Numbers like 36, 49, and 625 are called PERFECT SQUARES, because they are the squares of whole numbers. 6 6 PerfectSquare If 6 is the number you would square to find 36, then 6 is the square root of 36. 6² = 36 √36 = 6

14. What number would you square or is the square root of 9? 9 3 3 A radical sign ( √ ) is placed over a number when the square root is requested.

15. What number would you square or is the square root of the following numbers: 1) √ 81 = 2) √ 121 = 3) √ 49 = 4) √ 196 = 9 11 7 14 ( 9 x 9 ) ( 11 x 11 ) ( 7 x 7 ) ( 14 x 14 )

16. When given multiple choice answers to choose from for squares and square roots, first state the answer to the question, then match your answer with a multiple choice answer that represents the same. 9 1)Which of the following best represents √ 81 ? 2) Which if the following represents 3² ? 9 9 2 9 81 9 18 2 3 5 3 9 6 6 15 9

17. Which of the following best represents √36 ? 6 6 6 1)2) 3) 4) Which of the following best represents 4² ? 1) 2)3)4) 4 4 6 216 12 6 36 16 6 4 Better because it shows all 16 parts

18. Construct a Square Root Chart with your partner showing the numbers that 1-15 are the square roots of! Example Square Root √ 1 1 √ 4 2 √ 9 3 √ 16 4 √ 25 5

19. YOUR ASSIGNMENT Square and Square Roots WS Square and Square Roots WS Y O U C A N D O I T ! ! ! ! ! ! !

26. YOUR ASSIGNMENT ---- Pg 32 #12-32 evens, Pg 32 #12-32 evens, Pg 36 #10-30 evens Pg 36 #10-30 evens Y O U C A N D O I T ! ! ! ! ! ! !