Call Now: (800) 537-1660

June 18th

June 18th

# 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,
Free Tutoring
• Get 30 Minutes of FREE Live Tutoring from Tutor.com if you

Testimonials
"I ordered the Algebra Buster late one night when my daughter was having problems in her honors algebra class. After we ordered your software she was able to see step by step how to solve the problems. Algebra Buster definitely saved the day."
Tami Garleff

Home    Why Algebra Buster?    Guarantee    Testimonials    Ordering    FAQ    About Us
What's new?    Resources    Animated demo    Algebra lessons    Bibliography of     textbooks