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

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

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

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

Powers Power Verbal Expression Value 121 Twelve to the first power 12 62 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

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

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

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

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

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

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

Practice Evaluate: -2x3 + 4y, for x=-2 and y=3 -2(-2)3 + 4(3) -2(-8) + 12 16 + 12 28!!!

Practice – You Try!!! Simplify: 2(5)2 + 4(-3)3 2(25) + 4(-27) 50 + -108 -58!!!

Practice Evaluate: 3(a)2 + 6, for a=-5 3(-5)2 + 6 3(25) + 6 75 + 6 81!!!

Homework!!! Page 178: 1-10, 13-17, 19-28, 30-36