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Published byEzra Cooper Modified over 8 years ago

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**RATIONAL EXPONENTS Assignments Assignments Basic terminology**

Substitution and evaluating Laws of Exponents Multiplication Properties Product of powers Power to a power Power of a product Zero and negative exponents Division properties of exponents Quotient of powers Power of a quotient Assignments Assignments

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Basic Terminology EXPONENT means BASE Important Examples

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IMPORTANT EXAMPLES Variable Examples

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Variable Expressions

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**Substitution and Evaluating**

STEPS Write out the original problem. Show the substitution with parentheses. Work out the problem. = 64 More Examples

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**Evaluate the variable expression when x = 1, y = 2, and w = -3**

Step 1 Step 1 Step 1 Step 2 Step 2 Step 2 Step 3 Step 3 Step 3

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**MULTIPLICATION PROPERTIES**

PRODUCT OF POWERS This property is used to combine 2 or more exponential expressions with the SAME base.

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**MULTIPLICATION PROPERTIES**

POWER TO A POWER This property is used to write and exponential expression as a single power of the base.

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**MULTIPLICATION PROPERTIES**

POWER OF PRODUCT This property combines the first 2 multiplication properties to simplify exponential expressions.

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**MULTIPLICATION PROPERTIES**

SUMMARY PRODUCT OF POWERS ADD THE EXPONENTS POWER TO A POWER MULTIPLY THE EXPONENTS POWER OF PRODUCT

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**ZERO AND NEGATIVE EXPONENTS**

ANYTHING TO THE ZERO POWER IS 1.

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**DIVISION PROPERTIES QUOTIENT OF POWERS**

This property is used when dividing two or more exponential expressions with the same base.

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**DIVISION PROPERTIES POWER OF A QUOTIENT Hard Example**

Summary of Zero, Negative, and Division Properties

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**ZERO, NEGATIVE, AND DIVISION PROPERTIES**

Zero power Quotient of powers Negative Exponents Power of a quotient

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