Date post: | 02-Jan-2016 |
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Aim: How do we work on the expression with fractional exponent?
Do Now: Simplify:
1. 22
2. 33 22
3.33 22
2
8
HW: p.297 # 20,26,32,44,48,50,54,64,66,68
3 4
If we write as then becomes2 2
1
2 22
2
1
2
1
22 2
1
2
1
2
221
22222 2
1
2
1
8222222 32
6
2
3
2
333
In the same fashion,
333 422 or 3
2
3
1
3
133 22222
Law of Fractional ExponentLaw of Fractional Exponent:
nn xx 1
n an
a
xx
ann
a
xx )(
ann
an
a
xx
x)(
11
33
1
xx
3 23
2
xx
233
2
xx
3 23
23
2 11
xx
x
Evaluating in Either Order
46488
4288
33 23
2
223
3
2
or
Evaluating a-m/n
4
1
2
1
8
1
8
18 22
33
23
2
4
3
81
4
3
81
1
34 )81(
1
27
1
3
13
Simplifying
abba
yyy
3
1
2
1
6
16
6
16
13
11
2
1 ba
3
2
2
3
ba
1.
2.
or 3 23 ba
2. 274
3
Examples:
273 4
1. 363
2
3 4
81
36 3 6 3
216
3. 813
4 814 3 3 3
27
Examples: rewrite the expression with positive exponent
xy 1
8
21
2
1
4 22
4
1
4 21
4
Examples: Simplify each expression
32
1
10
41
8
25
1
10
22 1
8
2
5
10
22
8
2
1
2
21
4
3210
48
24
Examples: Simplify each expression
5
1
2
251
2
5 1
2
2 5
125
1
2
51
2
125
1
2
1
2
125 1
1215
110
Express as a rational number:
1. 3
5
8
2. 2
1
9
3. 2
3
100
Write the following as a power with positive exponent
1. 3 15
2. 6418 ba
3.b
a
4
3
Write the following as a radical expression
1. 2
1
5
2. 2
12 )25( yx
3. 41
6516 ba