Unit 7 Exponents

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Unit 7 Exponents Polynomials

• Topic Exponents, Powers of 10, Scientific
  Notation

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Exponential Terms

• Exponent
• Power/ of times something is multiplied
• Ex. 63 3 is an exponent
• Base
• Value with an exponent/superscript
• x5 x is a base
• Coefficient
• Number in front of a variable
• Acts as a multiplier
• 2y3 2 is a coefficient the exponent does not
  affect the coefficient, only the base

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Examples of Exponential Expressions
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Rules for simplifying exponential expressions
(make note cards for these)

• Zero Exponent
• Negative Exponents

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Rules for simplifying exponential expressions

• Product of Powers Property
• Bases must be the same
• Power of a Power Property

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Rules for simplifying exponential expressions

• Power of a Product Property
• Quotient of Powers Property

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Rules for simplifying exponential expressions

• Positive Power of a Quotient Property
• Negative Power of a Quotient Property

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When is an exponential expression considered
simplified?

• No negative exponents
• All bases/coefficients have been completely
  reduced
• No powers raised to powers
• No products or quotients raised to powers

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Writing Powers of 10 in Regular Notation

• Positive Exponents
• Start w/ 1 and move decimal n places right (value
  increases)
• Negative Exponents
• Start w/ 1 and move decimal n places left (value
  decreases)

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Scientific Notation

• Using powers of 10 to represent very large or
  very small values
• General format
• If number in regular notation gt 1, x is positive
• If number in regular notation lt 1, x is negative

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Homework

• Workbook Section 7.1
• Workbook Section 7.2
• DUE MONDAY, 2/2