In this section, we will… Use rational exponent notation Find nth roots Evaluate and simplify...
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Transcript of In this section, we will… Use rational exponent notation Find nth roots Evaluate and simplify...
![Page 1: In this section, we will… Use rational exponent notation Find nth roots Evaluate and simplify radical expressions 7.1 – nth Roots and Rational Exponents.](https://reader035.fdocuments.us/reader035/viewer/2022072016/56649efa5503460f94c0c8d3/html5/thumbnails/1.jpg)
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
![Page 2: In this section, we will… Use rational exponent notation Find nth roots Evaluate and simplify radical expressions 7.1 – nth Roots and Rational Exponents.](https://reader035.fdocuments.us/reader035/viewer/2022072016/56649efa5503460f94c0c8d3/html5/thumbnails/2.jpg)
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
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Recall that…
Negative numbers do not have real square roots!121
2b a
2
![Page 3: In this section, we will… Use rational exponent notation Find nth roots Evaluate and simplify radical expressions 7.1 – nth Roots and Rational Exponents.](https://reader035.fdocuments.us/reader035/viewer/2022072016/56649efa5503460f94c0c8d3/html5/thumbnails/3.jpg)
RAD-TASTIC MATHEMATICSVocabulary Important Properties
3
n am
n m na a
mm
n na a
1 m
nm
na
a
![Page 4: In this section, we will… Use rational exponent notation Find nth roots Evaluate and simplify radical expressions 7.1 – nth Roots and Rational Exponents.](https://reader035.fdocuments.us/reader035/viewer/2022072016/56649efa5503460f94c0c8d3/html5/thumbnails/4.jpg)
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
![Page 5: In this section, we will… Use rational exponent notation Find nth roots Evaluate and simplify radical expressions 7.1 – nth Roots and Rational Exponents.](https://reader035.fdocuments.us/reader035/viewer/2022072016/56649efa5503460f94c0c8d3/html5/thumbnails/5.jpg)
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EXAMPLES WITH SWAGG
• Rewrite the expression using radical notation.
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2.
3.
4.
5.
3
7z
2
36
1
25
6
89
1
520
23 6
5
37 z
34 9
5 20
![Page 6: In this section, we will… Use rational exponent notation Find nth roots Evaluate and simplify radical expressions 7.1 – nth Roots and Rational Exponents.](https://reader035.fdocuments.us/reader035/viewer/2022072016/56649efa5503460f94c0c8d3/html5/thumbnails/6.jpg)
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2 KOOL 4 SKOOL
• Evaluate the expression without a calculator.
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2.
3.
4.
5.
3 64
6 64
1
31
24 16
43 27
4
2
1
4
1
81
![Page 7: In this section, we will… Use rational exponent notation Find nth roots Evaluate and simplify radical expressions 7.1 – nth Roots and Rational Exponents.](https://reader035.fdocuments.us/reader035/viewer/2022072016/56649efa5503460f94c0c8d3/html5/thumbnails/7.jpg)
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• Solve the equation.
MR. V’S EXAMPLES ARE DA BOMB
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2.
3.
3 125x
53 3x
2( 4) 0x
5x
1x
4x
![Page 8: In this section, we will… Use rational exponent notation Find nth roots Evaluate and simplify radical expressions 7.1 – nth Roots and Rational Exponents.](https://reader035.fdocuments.us/reader035/viewer/2022072016/56649efa5503460f94c0c8d3/html5/thumbnails/8.jpg)
pgs. 404-405 #14-22 even, 30-40 even, 53-55 all
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Homework