College Prep Sheet - Section 5a - Getting Ready For Chapter 5
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3COLLEGE PREP
SECTION 5A – GETTING READY FOR CHAPTER 5
Objectives:
Simplify exponential equations using the product rule, the quotient rule, the power rule, and the Law of
•
Exponents.
Evaluate Exponential expressions with a Zero or negative exponent.
•
Convert between Scientific Notation and Decimal Notation.
•
Use Scientific Notation to multiply and divide.
•
in the expression
,
is called the base, and is called the exponent or power.
NOTATION:
Rules for Operations with Exponents
Operation
Formula
Example
Multiplying – add exponents
Dividing – subtract exponents
Power to a power – multiply exponents
Power of a product – exponent applies to each
factor (like distributing)
Power of a quotient – exponent applies to
numerator and denominator (like distributing)
Power of a negative quotient – exponent applies to
numerator and denominator (like distributing)
This will cause everything inside to switch places.
Negative exponents – moving the exponential factor
or
to the denominator creates a positive exponent
Zero Exponents – any number or variable that has a
zero exponent is always equal to 1
Note: These power rules assume that the variable does not equal 0 whenever it’s in the denominator or if
it is raised to the zero power.
BEWARE of these common mistakes!!!
Error Formula
Description
Example
Exponents do not distribute over addition or subtraction!
Like terms in fractions do not cancel! (Only factors cancel.)
Zero exponent does not mean the same as multiply by
zero!
Negative exponents do not make a monomial negative!
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