1. Splash Screen

2. Main Idea/Vocabulary factors exponent base power squared Use powers and exponents. cubed evaluate standard form exponential form

3. Exponents are simply repeated multiplication. We call the numbers repeated factors. Example: 2 5 = 22222 = 32 This is read “2 to the fifth power” But what are the parts? 2 5 = 32 Exponents exponent base power

4. Example 1 Write Powers as Products Write 8 4 as a product of the same factor. Eight is used as a factor four times. Answer: 8 4 = 8 ● 8 ● 8 ● 8

5. Example 2 Write Powers as Products Write 4 6 as a product of the same factor. Four is used as a factor 6 times. Answer: 4 6 = 4 ● 4 ● 4 ● 4 ● 4 ● 4

6. Example 3 Write Powers in Standard Form Evaluate the expression 8 3. 8 3 = 8 ● 8 ● 88 is used as a factor 3 times. = 512Multiply. Answer: 512

7. Example 4 Evaluate the expression 6 4. 6 4 = 6 ● 6 ● 6 ● 6 6 is used as a factor 4 times. = 1,296Multiply. Answer: 1,296 Write Powers in Standard Form

8. Example 5 Write 9 ● 9 ● 9 ● 9 ● 9 ● 9 in exponential form. 9 is the base. It is used as a factor 6 times. So, the exponent is 6. Answer: 9 ● 9 ● 9 ● 9 ● 9 ● 9 = 9 6 Write Powers in Exponential Form

9. What do we mean squared? Cubed? 5 2 would be read “five squared” because the exponent is a 2. Therefore, the exponent of “2” makes it squared 7 3 would be read “seven cubed” because the exponent is a 3. Therefore, the exponent of “3” makes it cubed.

10. Let’s try some DIRECTIONS: change the multiplication problem into a power and solve (exponential form). 6 × 6 × 6 = 12 × 12 × 12 = 9 × 9 × 9 × 9= a × a × a =

11. How about these! DIRECTIONS: change each power into a multiplication problem and solve. 10² = 20³= 12² = 4³ =

12. But what happens now? 7 0 ? Anytime a base has a zero for the exponent, the answer is 1. So 7 0 = 1

13. 1.A 2.B 3.C 4.D Example 1 A.3 ● 6 B.6 ● 3 C.6 ● 6 ● 6 D.3 ● 3 ● 3 ● 3 ● 3 ● 3 Write 3 6 as a product of the same factor.

14. 1.A 2.B 3.C 4.D Example 2 A. 7 ● 3 B. 3 ● 7 C.7 ● 7 ● 7 D.3 ● 3 ● 3 ● 3 ● 3 ● 3 ● 3 Write 7 3 as a product of the same factor.

15. 1.A 2.B 3.C 4.D Example 3 A.8 B.16 C.44 D.256 Evaluate the expression 4 4.

16. 1.A 2.B 3.C 4.D Example 4 A.10 B.25 C.3,125 D.5,500 Evaluate the expression 5 5.

17. 1.A 2.B 3.C 4.D Example 5 A.3 5 B.5 3 C.3 ● 5 D.243 Write 3 ● 3 ● 3 ● 3 ● 3 in exponential form.

18. End of the Lesson