Multiply and Divide Monomials
OBJ:​ I can simplify real number
expressions by multiplying and dividing
monomials.
CC.8.EE.1
Monomial:​ a number, variable, or
a product of a number and one or
more variables.
Math Ex:​ 5 7x
❖
x
Product of Powers
➢ Laws of Exponents:
Combine like bases.
➢ When bases are alike,
combine bases by adding
exponents.
■ Ex: 7​6​*7​1
● Like Bases: 7
● Add exponents: 7​6+1
● 7​7​=823,543
❖ Monomials with numbers
and variables:
➢ Use the commutative
property to move like
bases near one another.
➢ Multiply numbers/ add
exponents to combine like
bases.
■ EX:
-7x​2​*11x​4
-7(11)*x​2​*x​4
-77x​2+4
-77x​6
❖
Quotient of Powers
➢ When bases are alike,
combine bases by
subtracting exponents.
■ Ex: 6​12​/6​2
● Like Bases: 6
●Subtract exponents: 6​12-2
● 6​10​=60,466,176
❖ Monomials with numbers
and variables:
➢ Use the commutative
property to move like
bases on top of one
another.
➢ Subtract exponents to
combine like bases.
■ EX:
2​4​5​3​9​2
2​3​5​2​9
2​4-3​*5​3-2​*9​2-1
2​1​*5​1​*9​1​=90