1. To Start: 15 Points
Is the first number divisible by the second? 142,681 by 3 423,675 by 9 5,658,451 by 3 No
Yes No

2. Chapter 4: Factors, Fractions, and Exponents
Section 4.2: Exponents

3. Exponents
You can use exponents to show repeated multiplication. For example: 26 = 2 x 2 x 2 x 2 x 2 x 2 = 64!!!

4. Powers
A power has two parts, a base and an exponent. The expression 26 is read as “two to the sixth power”.

5. Powers Power Verbal Expression Value 121 Twelve to the first power 1262
Six to the second power
6(6) = 36
(.2)3
Two tenths to the third power
(.2)(.2)(.2) = .008
-74
The opposite of seven to the fourth power
-(7x7x7x7) = -2,401
(-8)5
Negative eight to the fifth power
(-8)(-8)(-8)(-8)(-8)=-32,768

6. Exponents
Write using exponents: (-5)(-5)(-5) (-5)3 -2(a)(b)(a)(a) -2a3b

7. Exponents – You Try!!
Write using exponents: (6)(6)(6) (6)3 4(x)(x)(y)(x)(y) 4x3y2

8. Exponents
Simplify: (7)3 =(7)(7)(7) = 343!! 114 = (11)(11)(11)(11) = 14,641!!!

9. Exponents – You Try!!
Simplify: (-4)6 =(-4)(-4)(-4)(-4)(-4)(-4) = 4,096!! -84 = -(8)(8)(8)(8) = -4,096!!!

10. Order of Operations Work inside grouping symbols
Simplify any terms with exponents
Multiply and divide from left to right
Add and subtract from left to right

11. Practice
Simplify: 4(3+2)2 4(5)2 4(25) 100!!!

12. Practice
Evaluate: -2x3 + 4y, for x=-2 and y=3 -2(-2)3 + 4(3) -2(-8) !!!

13. Practice – You Try!!!
Simplify: 2(5)2 + 4(-3)3 2(25) + 4(-27) !!!

14. Practice
Evaluate: 3(a)2 + 6, for a=-5 3(-5) (25) !!!

15. Homework!!!
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