Luttrell 2012
107
Name: ______________________
Date: _____
7f –More Rational Exponents
Given:
x
x
a
b
a
b
=
Examples of rewriting fractional exponents:
16
16
16
4 4
4
1
2
2
=
=
=
⋅ =
27
27
3 3 3
3
1
3
3
3
=
=
⋅ ⋅ =
81
81
3 3 3 3
3
1
4
4
4
=
=
⋅ ⋅ ⋅ =
For rational exponents, most times it’s easier to simplify with the denominator of the exponent
first. See the examples below:
4
2
8
3
2
3
=
=
16
2
8
3
4
3
=
=
625
5
125
3
4
3
=
=
Simplify the following without a calculator into an integer or a simplified radical:
1.
64
2
3
2.
64
7
6
−
3.
64
5
6
4.
(
)
−
64
2
3
5.
−
−
32
6
5
6.
343
2
3
7.
−
−
100
3
2
8.
(
)
256
625
3
4
−
9.
−
−
125
27
4
3
b g
10.
6
2
÷
11.
81
9
3
3
⋅
12.
128
32
3
⋅
13.
64
3
14.
36
3
15.
64
4
5
3
