Multiplying and Dividing by Monomials
Multiplying Monomials
An expression like is called a monomial . A monomial is a number, a
variable, or a product of a number and one or more variables.
Monomials that are real numbers are called constants. To simplify
a product involving monomials, write an equivalent expression in
which: (1) there are no powers of powers, (2) each base appears
exactly once, and (3) all fractions are in simplest form.
Product of Powers 
You can multiply powers with the same
base by adding exponents. For any number a, and all
integers m and n, . 
Power of a Power 
You can find a power of a power by
multiplying exponents. For any number a, and all integers
m and n, 
Power of a Product 
A power of a product is the product of
the powers. For all numbers a and b, and any integer m, 
Power of a Monomial 
The power of a power property and the power of a
product property can be combined into the power of a
monomial property. For all numbers a and b, and all
integers m, n, and p 
Dividing by Monomials
Quotient of Powers 
You can divide powers with the same base
by subtracting exponents. For all integers m and n and
any nonzero number a, 
Zero Exponent 
For any nonzero number a, . 
Negative Exponents 
For any nonzero number a and any integer
n, 
