Day Problems • Simplify each expression. 1. (c5)2 2. (t2)-2 (t2)-5 3. (2xy)3•x2 4. (2p6)0
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Transcript Day Problems • Simplify each expression. 1. (c5)2 2. (t2)-2 (t2)-5 3. (2xy)3•x2 4. (2p6)0
Day Problems
• Simplify each expression.
1. (c5)2
2. (t2)-2 (t2)-5
3. (2xy)3•x2
4. (2p6)0
8.5 Division Properties of Exponents
• Dividing Powers with the Same Base.
– For every nonzero number a and integers m and n,
a m = am – n .
an
– Example
37 = 3 7 – 3 = 3 4 .
33
Simplifying an Algebraic Expression
• Simplify each expression.
6
a.
a
614
a
14
a
8
a
1
8
a
1
3
c d
b.
5 4
cd
c
15
6
c d
7
d
6
c
d
7
3( 4)
Raising a Quotient to a Power
• For every nonzero number a and b and integer
n
n
n,
a
a
n
b
b
• Examples:
3
4 4 64
3
5 5 125
3
Raising a Quotient to a Power
• Simplify
4
2
x
3
3
3
4
4
2
2 3
(x )
x
3
4
6
x
64
6
x
Simplifying an Exponential Expression
• Simplify each expression.
2
2
2
a. 3
5
5
2
5
3
3
4
7
25
2
9
9
4
2
x
y
y
b.
(
y
)
y
4
2
x
2x
(2 x )
4
4
4
y
4
16 x
More Practice!!!!
• Textbook – p. 420 #2 – 12 even, 22 – 36
even.
• Homework – Finish textbook problems.