RATIONAL EXPONENTS

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RATIONAL EXPONENTS
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Basic Terminology
EXPONENT
means
BASE
Important Examples
3
IMPORTANT EXAMPLES
Variable Examples
4
Variable Expressions
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Substitution and Evaluating

• STEPS
• Write out the original problem.
• Show the substitution with parentheses.
• Work out the problem.

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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
DISTRIBUTE THE EXPONENT
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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