Upload
victor-patrick
View
225
Download
1
Embed Size (px)
Citation preview
7.4 Rational Exponents
Fractional Exponents (Powers and Roots)
xyy xy
x
aaa )(“Power”
“Root”
Quick Review – Exponent Rules
NEGATIVE EXPONENTRULE
nn
a
1a
2525
1
Upstairs – Downstairs: A negative exponent means it’s in the wrong place.
PRODUCT OR POWERRULE
2010 22 nmnm aaa
302
HAVE TO HAVE THESAME BASE
QUOTIENT OF POWERRULE
4
10
3
3 63
bab
a
xx
x HAVE TO HAVE THESAME BASE
POWER OF POWERRULE
(x4)³ 34x 12x
mnnm a)a(
POWER OF PRODUCTRULE
mnnnm ba)ab(
(2x4)⁵ 545 x2 20x32
POWER OF A QUOTIENTRULE
a
b
a
b
n n
n
FHGIKJ
35
y
FHGIKJ
35
5y
POWER OF QUOTIENT 2RULE
2
y
3
2
2
y
3
2
2
3
y
9
2y
a
aa
x
y
y
x
RATIONAL EXPONENTRULE
mnn mn
m
aaa
4
3
16 34 16 32 8
RADICAL TO EXPONENTRULE
251 2/
a a1 2/
25 5a an n1/
Let’s put a few ideas together
5
3
x
35
x 35
1
x
6.0x Convert the decimal to a fraction
EX - simplify
6
8
3
816
8 4
3
3
6 3
3 84
6 3
3 21
6 3
3
6 5
6 5
3
3
6 6
6 5
3
33
3
33 65
21
3
33 65
63
3
3 68
3
3 34
3
333 3 3
Need to Rationalize!
Remember: We are ADDING exponents here – what do we need to add fractions?
How did we get to here???
Let’s Try Some
53
32
43
816
y
5.3
4
31
158
x
Hint: convert to a fraction rather than a decimal!
Let’s Try Some
53
32
43
816
y
5.3
4
31
158
x