Lesson 7-2 Dividing Monomials - PowerPoint PPT Presentation

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Lesson 7-2 Dividing Monomials

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Lesson 7-2 Dividing Monomials p. 408 Some Specific Examples Consider Also Can you think of a general rule? Quotient of Powers To divide two powers that have the same ... – PowerPoint PPT presentation

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Title: Lesson 7-2 Dividing Monomials


1
Lesson 7-2Dividing Monomials
  • p. 408

2
Some Specific Examples
  • Consider
  • Also
  • Can you think of a general rule?

3
Quotient of Powers
  • To divide two powers that have the same base,
    subtract the exponents
  • For all integers m and n and any nonzero number
    a,
  • Ex. Simplify , where
  • Combine like bases
  • Subtract exponents
  • Simplify

4
Fractions
  • Consider
  • Will this always happen?

5
Example
  • Simplify
  • 1. Rewrite the expression so that
    each number or variable has the
    exponent
  • 2. Simplify

6
Problems to Try
  • Simplify, Assume all denominators are not zero.
  • 1. 2.

7
The zero exponent
  • Find
  • Can equal two different things?
  • So,
  • Any nonzero number raised to the zero power is 1.
  • For any number a,

8
Examples
  • 1.
  • 2.

9
Negative Exponents
  • Find
  • Can equal two different things?
  • So,
  • For any nonzero number a and any integer n,
    is the reciprocal of

10
Examples
  • To simplify an expression, you must get rid of
    all negative exponents!
  • 1.
  • 1. Separate into fractions
    of like bases
  • 2. Write reciprocals for
    negative exponents
  • 3. Simplify

2.
11
Problems to Try
  • Simplify, Assume all denominators are not zero.
  • 1. 2.
  • 3. 4.
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