# Multiplying & Dividing Terms with Exponents

In this video, we are going to look at how to multiply and divide terms with exponents.
For example:
To solve the following:
$3^2 \times 3^3$
We add the exponents when the bases are the same, to get
$3^5$
To solve something more complex such as
$(3x^3y^2)(4x^4y^5)$
we multiply the constants first, then we multiply the terms with the same base to get
$12x^7y^7$
To solve the following:
$3^4 \div 3^2$
we subtract the exponents when the bases are the same, to get
$3^2$

Other examples:

Multiplying Terms that have Exponents and the Same Base
$x^a \times x^b = x^{a+b}$
$3^9 \times 3^4 = 3^{9+4} = 3^{13}$

Dividing Terms that have Exponents and the Same Base
$x^a \div x^b = x^{a-b}$
$3^9 \div 3^4 = 3^{9-4} = 3^{5}$

• ## Want full access to all of our free math tutorials & practice problems?

Used by students across the country. Pre-Algebra, Algebra I, Geometry, & Algebra II