All Exponent
Properties
Foldable: Title
PROPERTIES
OF EXPONENTS
Foldable: Tab 1
PROPERTIES
OF EXPONENTS
Zero Exponents
Foldable: Tab 1 (Open)
What I will see: A number or variable raised to the zero power
(i.e. a parent with no baby).
What to do: Any number (except zero) that has an exponent of
zero will equal 1 (i.e. if a parent doesn’t have a baby, it can
become the “ninja 1” it’s always wanted to be.
(−12441)
0
Zero Exponents
€
Foldable: Tab 2
PROPERTIES
OF EXPONENTS
Zero Exponents
Integer Exponents
Foldable: Tab 2 (Open)
What I will see: A number or variable raised to a negative number (i.e. a
parent with a crying baby)
What to do: Take the reciprocal of the power to make the exponent
positive (i.e. move the crying baby to a different room).
Special Note: Pay attention to who the parent is to the crying baby! Only
the parent moves to make the baby happy…nobody else.
2 −2 x −1 y 5
ab −3
Integer Exponents
€
Foldable: Tab 3
PROPERTIES
OF EXPONENTS
Zero Exponents
Integer Exponents
Product of Powers
Foldable: Tab 3 (Open)
What I will see: Two or more powers with the same base and
they will all be multiplying.
What to do: Add the exponents together.
Special Note: The base stays the same while other numbers
multiply.
6m 3 • 3m 6
Product of Powers
€
Foldable: Tab 4
PROPERTIES
OF EXPONENTS
Zero Exponents
Integer Exponents
Product of Powers
Power to a Power
Foldable: Tab 4 (Open)
What I will see: One power inside parentheses with an
exponent outside the parentheses.
What to do: Multiply the exponents together.
Special Note: The base stays the same.
(y 4 ) 3
Power to a Power
€
Foldable: Tab 5
PROPERTIES
OF EXPONENTS
Zero Exponents
Integer Exponents
Product of Powers
Power to a Power
Product to a Power
Foldable: Tab 5 (Open)
What I will see: Coefficients (a.k.a. big numbers) and variables inside
parentheses raised to an exponent outside the parentheses.
What to do: Distribute the exponent outside the parentheses to all
coefficients and variables inside the parentheses. Since you’re
“distributing,” exponents will multiply.
Special Note: Simplify powers that have a base as the number.
(3y 4 ) 3
Product to a Power
€
Foldable: Tab 6
PROPERTIES
OF EXPONENTS
Zero Exponents
Integer Exponents
Product of Powers
Power to a Power
Product to a Power
Quotient of Powers
Foldable: Tab 6 (Open)
What I will see: Two powers with the same base. These two powers will
be dividing (or written as a fraction).
What to do: Subtract the exponents. The exponent in the numerator
comes first.
Special Note: The base stays the same while the big numbers divide (or
simplify as a fraction).
27k10
6k −3
Quotient of Powers
€
Foldable: Tab 7
PROPERTIES
OF EXPONENTS
Zero Exponents
Integer Exponents
Product of Powers
Power to a Power
Product to a Power
Quotient of Powers
Quotient to a Power
Foldable: Tab 7 (Open)
What I will see: A fraction inside parentheses with an exponent
outside the parentheses.
What to do: Distribute the exponent outside the parentheses to
all coefficients and variables inside the parentheses (both
numerator and denominator). Since you’re “distributing,”
exponents will multiply.
⎛ 2x 3 ⎞ 3
⎜ 10 ⎟
⎝ 3y ⎠
Quotient to a Power
€