6.2 Properties of Exponents Mon April 16

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6.2 Properties of ExponentsMon April 16

• Do Now
• Simplify the expression
• 1)
• 2)
• 3)

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Quiz Review

• Retakes Wed-Thurs

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Properties of Rational Exponents

• All properties of exponents apply to rational
  exponents

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Product of Powers

• Let a be a real number, and let m and n be
  integers, then
• Ex

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Power of a Power

• Let a be a real number, and let m and n be
  integers, then
• Ex

6
Power of a Product

• Let a and b be real numbers, and let m be an
  integer, then
• Ex

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Negative Exponent

• Let a be a real number, and let m be an integer,
  then
• Ex

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Quotient of Powers

• Let a be a real nonzero number, and let m and n
  be integers, then
• Ex

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Power of a Quotient

• Let a and b be real numbers, and let m be an
  integer, then
• Ex

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You try

• Simplify each expression
• 1)
• 2)
• 3)
• 4)

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Closure

• Hand in Simplify the expression
• HW p.424 3-10

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6.2 Properties of RadicalsTues April 17

• Do Now
• Simplify each expression
• 1)
• 2)

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HW Review p.424 3-10

• 3) 25
• 4)
• 5) 3
• 6)
• 7)
• 8) 4/7
• 9)
• 10) 884736

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Properties of radicals

• Product Property of Radicals
• Quotient Property of Radicals

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Examples

• Simplify the expression
• 1)
• 2)

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You try

• Simplify each expression
• 1)
• 2)

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Closure

• Hand in Simplify the expression
• HW p.424 15 16 18 19 21

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6.2 Simplifying Radical ExpressionsWed April 18

• Do Now
• Simplify the radicals
• 1)
• 2)

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HW Review p.424 15 16 18 19 21

• 15) 10
• 16) 4
• 18) 2187
• 19) 2
• 21) 3

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Simplifying Radical Expressions

• Radical expressions are simplified if
• No perfect roots can be factored out of the
  radical
• No radicals in the denominator

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Factoring out Perfect Roots

• To simplify a radical, factor out perfect roots
• Exs

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Rationalize the Denominator

• To simplify these radicals, multiply the
  numerator and denominator by a root that will
  give a perfect root in the denominator
• Ex

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Simplifying variable expressions

• When simplifying a root with variables, factor
  out the correct number out at a time
• Ex

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You try

• Simplify the expression
• 1)
• 2)
• 3)

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Closure

• Hand in Simplify the expression
• HW p.424 24 26-30, 52-54

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6.2 Practice and ReviewThurs April 19

• Do Now
• Simplify the radical expression
• 1)
• 2)

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HW Review p.424 24 26-30 52-54

• 24) 52)
• 26) 53)
• 27) 54)
• 28)
• 29)
• 30)

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Quiz Review

• Simplifying Rational Exponents
• Product Property
• Power to a Power
• Quotient Property
• Note When combining fraction exponents, you
  often need a common denominator
• Simplifying Radical Expressions
• Can only combine radicals with the same root

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Practice

• 6.2 Worksheet 1-20, 31 32

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Closure

• Journal Entry Describe the properties of
  rational exponents and radical expressions. Could
  we apply the same properties to both types?
• HW Finish 6.2 worksheet 1-20 31 32
• Study for 6.2 Quiz tomorrow

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6.2 QuizFriday April 20
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HW Review 6.2 worksheet 1-20 31 32
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6.2 Quiz