Transcript 7-2 Properties of Rational Exponents

3-2 Properties of Rational
Exponents
Day 1
Rules of Rational Exponents
Rational Exponents Follow the Same Properties of
Exponents.
Example 1: Simplify the following expressions.
Rules of Rational Exponents
Example 1: Simplify the following expressions.
Two
New
Rules:
One New Rule:
n
a b  a  b
n
n
n
n
a
a
n
b
b
Example 2. Simplify the expression:
Example 3: Simplify the expression
Example 4: Write the expression in
simplest form.
Exit Slip:
Use the Properties of Rational Exponents to
Simplify the Expression
3-2 Properties of Rational
Exponents
Day 1
Example
Example1:1:Simplify
Simplifythe
theexpression
Expression
In order to add or
subtract the
expression, both
terms need to have a
the same radical or
rational exponent.
Example
Example1:2:Simplify
Simplifythe
theexpression
Expression
In order to add or
subtract the
expression, both
terms need to have a
the same radical or
rational exponent.
Example 3: Simplify the expression.
4
32  4 2
4
Example 4: Simplify the expression.
Example 5: Simplify the expression.
Use the Properties of Rational
Exponents to Simplify the Expression
Ex 5: 4
4 9
12d e f

 12d e f
4 9
1
14
14

9
4
1
 12 4 d 4 e 4 f
Simplify the Fractions,
Any whole Numbers
Move Outside the
Radical.
4
14
4
Outside
1
4
1
2
1 4
 12 d e f
Inside
2
3
4
d e f
Rational
Root
1 2
3 4
12ef
2
Exit Slip:
Use the Properties of Rational Exponents to
Simplify the Expression
3
375  81
3