Day 2 Exponent Laws 2013 revised.notebook
September 04, 2014
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Day 2 Exponent Laws 2013 revised.notebook
September 04, 2014
Review of Essential Skills Day 2
A power is a numerical expression that shows repeated
multiplication.
For example
is called a power. __ is the base and __ is the exponent.
Operations with powers follow a set of rules.
Multiplication
Example: Evaluate
To multiply powers with the same base,
_____________________________________________________________
__________________________________
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Day 2 Exponent Laws 2013 revised.notebook
September 04, 2014
You Try! Simplify each of the following.
a.
b.
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Day 2 Exponent Laws 2013 revised.notebook
September 04, 2014
Division
Example: Evaluate
To divide powers with the same base,
__________________________________________________________________
__________________________________________________________________
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Day 2 Exponent Laws 2013 revised.notebook
September 04, 2014
You Try! Simplify each of the following.
a.
b.
c.
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Day 2 Exponent Laws 2013 revised.notebook
September 04, 2014
Power of a Power
Example: Simplify
When a power is raised to an exponent, ______________________________
______________________________________________________________________
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Day 2 Exponent Laws 2013 revised.notebook
September 04, 2014
You Try! Simplify each of the following. Evaluate if possible.
a.
b.
c.
d.
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Day 2 Exponent Laws 2013 revised.notebook
September 04, 2014
Zero Exponent
Example: Evaluate
or
When an exponent is zero,
______________________________________________________________
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Day 2 Exponent Laws 2013 revised.notebook
September 04, 2014
You Try! Evaluate each of the following.
a.
e.
b.
c.
d.
f.
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Day 2 Exponent Laws 2013 revised.notebook
September 04, 2014
Negative Exponent
Example: Simplify
or
When a power with a base greater than 1 has a negative exponent,
______________________________________________________________________________________________________________
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Day 2 Exponent Laws 2013 revised.notebook
September 04, 2014
You Try! Simplify to an expression with only positive exponents. Evaluate if
possible.
a.
d.
g.
b.
e.
c.
f.
h.
i.
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Day 2 Exponent Laws 2013 revised.notebook
September 04, 2014
What do I need to have memorized???
Exponent
Base
0
1
2
3
4
5
­5
­6
2
3
4
5
6
7
Base
Exponent
­1
­2
­3
­4
2
3
4
5
6
7
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Day 2 Exponent Laws 2013 revised.notebook
September 04, 2014
Exponent Rules
1. Multiplication Rule
23 × 24 =
32 × 36 = Observation
Generalization
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Day 2 Exponent Laws 2013 revised.notebook
September 04, 2014
2. Division Rule
26 ÷ 24 = __________________
35 ÷ 34 = __________________ Observation
Generalization
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Day 2 Exponent Laws 2013 revised.notebook
September 04, 2014
3. Power to a Power Rule
(22)3 =
(43)3 = Observation
Generalization
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Day 2 Exponent Laws 2013 revised.notebook
September 04, 2014
4. Zero Exponent Rule
4. Zero Exponent Rule
23 ÷ 23 = 23 = __________
23 Observation
Generalization
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Day 2 Exponent Laws 2013 revised.notebook
September 04, 2014
5. Negative Exponent Rule
23 ÷ 25 = 23 = _____________
25 Observation
Generalization
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Day 2 Exponent Laws 2013 revised.notebook
September 04, 2014
Example: Simplify to an expression with only positive exponents.
a) 76 x 7‐4 =
b) 4‐7 x 46 =
d) 39 ÷ 38 =
e) 76 ÷ 7‐2 =
c) 24 =
27
f) (33)4 =
g) (4‐2 )7 = h) (‐3)0 = i) =
=
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Day 2 Exponent Laws 2013 revised.notebook
j) m)
=
September 04, 2014
k)
n)
=
l) 2‐3 + 3‐1 =
o)
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