Math 95 Section 7.2 Rational Exponents Blank.notebook
January 26, 2016
Section 7.2
Rational Exponents
Objectives:
• Understand the meaning of
• Understand the meaning of
• Understand the meaning of
• Use rules of exponents to simplify expression that
contain rational exponents
• Use rational exponents to simplify radical expressions
1
Math 95 Section 7.2 Rational Exponents Blank.notebook
Understand the meaning of
Definition of
January 26, 2016
:
If n is a positive integer greater than 1
and
is a real number, then
In other words:
Use radical notation to rewrite each expression. Simplify if possible.
2
Math 95 Section 7.2 Rational Exponents Blank.notebook
Understand the meaning of
Definition of
Helpful hint:
January 26, 2016
:
If m and n are positive integers greater
than 1 with in lowest terms, then
as long as
is a real number.
Use radical notation to rewrite each expression. Simplify if possible.
3
Math 95 Section 7.2 Rational Exponents Blank.notebook
January 26, 2016
Understand the meaning of
:
Definition of
as long as
is a real number
Write each expression with a positive exponent, then simplify.
4
Math 95 Section 7.2 Rational Exponents Blank.notebook
January 26, 2016
Using rules for exponents
to simplify expressions:
Use the properties or exponents to simplify.
5
Math 95 Section 7.2 Rational Exponents Blank.notebook
January 26, 2016
Using rational exponents to
simplify radical expressions:
Use rational exponents to simplify. Assume that all variables represent
positive real numbers.
Use rational exponents to write as a single radical.
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