2. Exponents 2626 Base Exponent The exponent is sometimes referred to as the power. Take notes in your spiral – 2 nd section This would be called 2 to the 6 th power. Title

3. What is the meaning of 2 6 ? 2 6 means to multiply the base 2 by itself 6 times.

4. The meaning of the exponent: 1.) 2 6 = Or 222222 2.) 2 3 = Or 222 3.) 2 2 = Or 22 2 to the sixth power 2 to the third power Or 2 cubed 2 to the second power Or 2 squared

5. The meaning of the exponent: 1.) 5 2 = 2.) 3 3 = 3.) 2 4 = 4.) 6 3 5.) 9 2 = 6.) 1 7 = 7.) 4 3 = 8.) 7 2 = 9.) 8 3 10.) 11 2 =

6. Word FormExponent Form Factor FormProduct 5252 3 Two to the fourth power 6·6·6 Nine to the second power Five to the second power 5x525 Three to the third power 3x3x327 2424 2·2·2·2 16 Six to the third power 6363 216 9292 9·981

7. The meaning of the exponent: Word FormExponent Form Factor FormProduct 1717 4343 Seven to the second power 8·8·8 Eleven to the second power One to the seventh power 1x1x1x1x1x1x1 1 Four to the third power 4x4x464 7272 7 · 749 Eight to the third power 8383 512 11 2 11·11121 Online Calculator

8. The meaning of the exponent: 4.) 4 0 = 1 If 8/4 = 2, then we can say that 2 3 / 2 2 = 2 1. So if 4/4 = 1,we can say that 2 2 / 2 2 = 2 0, therefore 2 0 must EQUAL 1. 5.) 4 -1 = 1/4

9. Fill-in the chart 1.) 2 4 = 2.) 2 3 = 8 3.) = 4 4.) 2 1 = 5.) 2 0 = 6.) 2 -1 = 7.) 2 -2 = 1/4 8.) 2 -3 = As the exponent gets smaller, what do you notice about the answer?

10. Fill - in the chart 1.) 2 4 = 16 2.) 2 3 = 8 3.) 2 2 = 4 4.) 2 1 = 2 5.) 2 0 = 1 6.) 2 -1 = 1/2 7.) 2 -2 = 1/4 8.) 2 -3 = 1/8

11. Evaluate the following expressions with exponents 1.) n 3 when n =4 4 3 = 4 4 4 = 64 4 3 = 64

12. Evaluate the following expressions with exponents 2.) 15 + x 2 when x = 5 15 + 5 2 15 + 5 5 15 + 25 = 40

13. Evaluate the following expressions with exponents 3.) (3a + 6b) 2 when a = 1 & b = 2 (3(1) + 6(2)) 2 (3 + 12) 2 (15) 2 225

14. Evaluate the following expressions with exponents 4.) 2x 3 and (2x) 3 when x = 4 2(4 3 ) and (24) 3 2(64) and (8) 3 128 and 512

15. Closure 1.) What’s the difference between an expression and an equation? 2.) What the difference between a term and a factor?

16. Closure - Name the following What’s this?

17. Closure - Name the following 1.) is 3 a factor or term? 2.) What is the 2 called? 3.) Is 3x a factor or a term? 4.) Is 3x + 2 an expression or an equation?