In this section, we will…
Use rational exponent notation
Find nth roots
Evaluate and simplify radical expressions
7.1 – nth Roots and Rational Exponents
RADICALS ARE SO RAD DUDE!!!! 1
If a is a non-negative real number, any number b, such that is the square root of a and is denoted
Examples: Evaluate the following by taking the square root.
2b ab a
16
Recall that…
Negative numbers do not have real square roots!121
2b a
2
RAD-TASTIC MATHEMATICSVocabulary Important Properties
3
n am
n m na a
mm
n na a
1 m
nm
na
a
RAD-RRRIFIC EXAMPLES4
• Rewrite the expression using rational exponent notation.
1.
2.
3.
4.
5.
5
3 8
3 24
89 13
165 2
1
251
38
2
34
8
91316
52
5
EXAMPLES WITH SWAGG
• Rewrite the expression using radical notation.
1.
2.
3.
4.
5.
3
7z
2
36
1
25
6
89
1
520
23 6
5
37 z
34 9
5 20
6
2 KOOL 4 SKOOL
• Evaluate the expression without a calculator.
1.
2.
3.
4.
5.
3 64
6 64
1
31
24 16
43 27
4
2
1
4
1
81
7
• Solve the equation.
MR. V’S EXAMPLES ARE DA BOMB
1.
2.
3.
3 125x
53 3x
2( 4) 0x
5x
1x
4x
pgs. 404-405 #14-22 even, 30-40 even, 53-55 all
8
Homework
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