7-2 Properties of Rational Exponents (Day 1)

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7-2 Properties of Rational Exponents(Day 1)
Objective Ca State Standard 7.0 Students add,
subtract, multiply, divide, reduce, and evaluate
rational expressions with monomial and polynomial
denominators and simplify complicated rational
expressions, including those with negative
exponents in the denominator.
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Properties of Rational Exponents Let a and b be
real numbers and let m and n be rational numbers.
Property
Product of Powers Property
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Negative Exponents Property
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Quotient of Powers Property
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Power of a Quotient Property
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Example 1 Use the properties of Rational
Expressions to simplify the expression.
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Example 2 Using Properties of Radicals
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For a radical to be in simplest form you must not
only apply the properties of radicals but must
remove any perfect nth powers (other than 1) and
rationalize the denominator.
Factor out perfect cubes
Product Property
Simplify
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Make the denominator a perfect fifth power
Simplify
Quotient Property
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Simplify
Two radicals expressions are like radicals if
they have the same index and the same radicand.
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Adding and Subtracting Roots and Radicals
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Homework page 411 23-53(odd)