Radical Expressions And Rational Exponents Worksheet By A.e.cary Page 3
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6Math 95 Lecture Notes
Section 7.1: Radical Expressions and Rational Exponents
Rational Exponents (Part I)
Radical expressions can be expressed using rational exponents. More specifically,
1 2
a = a
1 3
3
a = a
1
a = a
where n is a positive integer and the radical expression is a real number.
Example 5. Write each radical expression using a rational exponent.
3
5
(a)
4
(b)
19
(c)
12
(d)
4
x
Rational Exponents (Part II)
An expression with rational exponents can be expressed as a radical expression. More specifically,
a
=
a
where m and n are positive integers and the radical expression is a real number.
Example 6. Write each expression in radical form.
2 3
5 4
4 7
(a) 6
(c) 8
(e) 3x
13 2
5 2
7 9
(b) 20
(d) y
(f) (2x)
Instructor: A.E.Cary
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