10.2 Exponents Day 2.notebook
Bellwork
Simplify the following.
1) (12x4)(3x2) =
February 11, 2016
10.2 Exponents Day 2
Objectives:
TSW: 1. Use the product, power, quotient, zero, and inverse rules to simplify exponential expressions.
2) (-2x6)2(4x2)3
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Laws of Exponents
Quotient Rule: a
m
m-n
an = a
11
a) x 5 =
x
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Laws of Exponents
Zero Rule: x0 = 1
a) (12x5)0 =
b) -24x5 =
6x7
12
b) x12 = x0 =
x
c) 15x12y7 =
3x9y2
Jan 28­7:51 PM
Laws of Exponents
Inverse Rule: a-n =
1
an
a) x-4 =
b) 5-7 =
x
-9
c) 12x-3 =
2y
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Jan 28­7:51 PM
Order for Simplifying Expressions
Involving Exponents
1. Check for zero exponents
2. Combine like terms inside parenthesis
(if possible)
3. Swap negative powers to make positive
powers.
4. Use the power rule to eliminate parenthesis
(if possible)
5. Use the product or quotient rule to simplify:
a. Multiply or divide constants (actual
numbers)
b. Add or subtract exponents
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1
10.2 Exponents Day 2.notebook
February 11, 2016
Use the quotient rule.
1)
2)
Use the zero rule.
3) (2xy5)0 =
Jan 28­7:51 PM
Use the inverse rule.
5)
6)
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Simplify
4) x0y3 =
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Simplify
1.
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Assignment
2.
10.2 Worksheet
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Jan 28­7:51 PM
2