Exponent Rules - PowerPoint PPT Presentation

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Exponent Rules

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When working with rational exponents, the denominator of the exponent is the index of the radical, and the numerator is still the exponent of the base. – PowerPoint PPT presentation

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Title: Exponent Rules


1
Exponent Rules


2
Exponent Rules


3
Exponent Rules


4
Simplify each algebraic expression. Do NOT
leave negative exponents.
5
Exponent Rules


6
Simplify the given expression. Do not leave
negative exponents.
7
Simplify the given expression. Do not leave
negative exponents.
  • Clear outside exponents first,
  • move the location of the base that has a
    negative exponent
  • the base still has an exponent, but now it is
    positive.

8
Simplify the given expression. Do not leave
negative exponents.
9
Simplify the given expression. Do not leave
negative exponents.
  • Clear outside exponents first, make sure all
    parenthesis are gone before moving bases.
  • The base is only what the exponent touches.

10
Simplify the given expression. Do not leave
negative exponents.
11
Simplify each numerical expression.
Rational exponent, rewrite as radical, the
denominator is the index
Rational exponent, rewrite as radical, the
denominator is the index, the numerator is still
the exponent of the base.
Negative exponent, take the reciprocal of the base
12
Simplify each numerical expression.
13
Simplify each algebraic expression. Do NOT
leave negative exponents.
  • When working with rational exponents, the
    denominator of the exponent is the index of the
    radical, and the numerator is still the exponent
    of the base.
  • The base is only what the exponent touches.

14
Simplify each algebraic expression. Do NOT
leave negative exponents.
15
Simplify each algebraic expression. Do NOT
leave negative exponents.
  • If n is a positive integer and m is any integer
    and is a real number, then
  • In radical notation

16
Simplify each algebraic expression. Do NOT
leave negative exponents.
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