chapter 4 section 2
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Chapter 4 Section 2
I Can . . .
Evaluate and Simplify Powers
Use Order of Operations with Exponents
HW: 4-2 Ws and pg 180 #11 – 27 ODD SHOW WORK
Powers
26 Means 2 • 2 • 2 • 2 • 2 • 2
Whole Expression is called a Power.
Base: The number used in multiplication
Exponent: The number of repeatedmultiplications
Power Verbal Expression Value 121 Twelve to the first power 12 62 Six to the second power 6•6 = 36
or six squared
(0.2)3 Two-tenths to the third power (.2)(.2)(.2) = 0.008 or two-tenths cubed -74 The opposite of the quantity of (-1)(7•7•7•7) = -2,401 seven to the fourth power
(-8)5 Negative eight to the fifth power (-8)(-8)(-8)(-8)(-8) = -32,768
Using an ExponentWrite the expression using an exponent. Student Practice Problems
1. (-5)(-5)(-5) (-5)3
2. -2•a•b•a•a
3. 4 • x • y • x • y 4x2y2
1. 6•6•6•6
2. 3•x•y•y•y
3. m•m•n•n
64
3xy3
m2n2
-2a3b
Simplifying a Power
Using the Power Key1. A microscope can magnify
a specimen 103 times. How many times is that?
103 = 10•10•10 = 1,000
2. Evaluate –a4b for a = 2 and b = 3.
(-1)(2)4(3) = (-1)(16)(3) = (-16)(3) = -48
Student Practice Problems
1. The ice age ended about 104 years ago. How many years ago was this?
10 = 10•10•10•10 = 10,000
2. Simplify: 2a2 if a=7.
2•72 = 2•49 = 98
Order of Operations with Exponents
1. Grouping Symbols
2. POWERS
3. Multiplication or Division Left to Right
4. Addition or Subtraction Left to Right
15 + (4 + 6)2 ÷ 5
15 + (10)2 ÷ 5
15 + 100 ÷ 5
115 ÷ 5
23
Student Practice Problems
7(w - 3)3 + zFor w = 5 and z = 6
7(5 - 3)3 + 67(2)3 + 67(8) + 656 + 6
62
(12 – 3)2 ÷ (22 – 1)
(9)2 ÷ (22 -1)(9)2 ÷ (4 – 1)
(9)2 ÷ (3)81 ÷ 3
27
Closure
Write a numerical expression with exponents.
Simplify your expression.
Hand your expression to a partner to check your work.
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