MULTIPLYING & DIVIDING MONOMIALS

Math 8

Starters

Write using exponents

Starters

Simplify each expression

if and

68

Monomial

Vocabulary

a power that is made up of numbers and/or variables as the bases,

connected using multiplication

Write in expanded form and using exponents (simplify)

= 2⁷

= 7⁷

= r¹⁰

= c⁸

What can we conclude?

What can we conclude?

Multiplication Rule

when multiplying monomials and the bases are the same,

keep the bases and add the exponents

if the numerical bases are different and the exponents are less than 5,

multiply like normal and leave it as the coefficient

only evaluate numerical bases if the exponent is 5 or lower,

you can still show whether it will be positive or negative

Simplify

Will the coefficient be positive or negative?

1

Simplify

Will the coefficient be positive or negative?

Write in expanded form

and using exponents (simplify)

= 1³⋅3⁴

= n⁵

= 4⁶

1

1

1

= 3⁴

= 81

1

1

= 1²⋅4⁶

don’t evaluate since exponent is higher than 5

/ / / /

/ / / /

What can we conclude?

What can we conclude?

Division Rule

when dividing monomials and the bases are the same,

keep the bases and subtract the exponents

if the numerical bases are different and the exponents are less than 5,

divide like normal, write as improper fraction if needed

only evaluate numerical bases if the exponent is 5 or lower,

you can still show whether it will be positive or negative

Simplify

4g

1

216⋅5⁶