How Do You Multiply Quotients of Monomials?

How Do You Multiply Quotients of Monomials?

Note:

Multiplying together two monomials isn't so hard, especially if you know the proper steps! This tutorial will take you through all the steps necessary to multiply together two monomials. Then, you'll see how to divide the numerator and denominator by the greatest common factor (GCF) in order to simplify and get your answer!

Keywords:

  • problem
  • rational expression
  • fraction
  • algebraic fraction
  • polynomial
  • monomials
  • multiply
  • simplify
  • greatest common factor
  • cancel out
  • numerator
  • denominator

Background Tutorials

  • Fraction Basics

      • What's a Numerator and What's A Denominator?What's a Numerator and What's A Denominator?

      What's a Numerator and What's A Denominator?

      Numerators and denominators are the key ingredients that make fractions, so if you want to work with fractions, you have to know what numerators and denominators are. Lucky for you, this tutorial will teach you some great tricks for remembering what numerators and denominators are all about.

  • Introduction to Algebraic Expressions

      • What is a Constant?What is a Constant?

      What is a Constant?

      Constants are parts of algebraic expressions that don't change. Check out this tutorial to see exactly what a constant looks like and why it doesn't change.

  • Rules of Exponents

      • What's the Quotient of Powers Rule?What's the Quotient of Powers Rule?

      What's the Quotient of Powers Rule?

      Working with exponents can be lots of fun, as long as you understand how they work. In this tutorial you'll see how exponents add when you divide the same number raised to different exponents!

  • Monomials

      • How Do You Multiply Monomials?How Do You Multiply Monomials?

      How Do You Multiply Monomials?

      Multiplying monomials? Group constants and like variables together before you multiply. See how to find the product of three monomials in this tutorial.

      • What's a Monomial?What's a Monomial?

      What's a Monomial?

      If you learn about algebra, then you'll see monomials everywhere! Watch this tutorial and learn what makes a monomial, and what does not.

  • Factors

      • What's a Factor?What's a Factor?

      What's a Factor?

      Factors are a fundamental part of algebra, so it would be a great idea to know all about them. This tutorial can help! Take a look!

  • Simplifying Rational Expressions

      • How Do You Divide Monomials Using the Greatest Common Factor?How Do You Divide Monomials Using the Greatest Common Factor?

      How Do You Divide Monomials Using the Greatest Common Factor?

      Simplifying a rational expression? You could divide the numerator and denominator by the greatest common factor (GCF). In this tutorial, you'll learn what you need to do to simplify a rational expression by factoring out the GCF!

      • What's a Rational Expression?What's a Rational Expression?

      What's a Rational Expression?

      Got a fraction with a polynomial in the numerator and denominator? You have a rational expression! Learn about rational expressions in this tutorial.

Further Exploration

  • Multiplying Rational Expressions

      • How Do You Multiply Two Rational Expressions?How Do You Multiply Two Rational Expressions?

      How Do You Multiply Two Rational Expressions?

      Multiplying together two rational expression isn't so hard, especially if you know the proper steps! This tutorial will take you through all the steps necessary to multiply together two rational expressions and then simplify the product to get the answer. Check it out!

  • Dividing Rational Expressions

      • How Do You Divide Two Rational Expressions?How Do You Divide Two Rational Expressions?

      How Do You Divide Two Rational Expressions?

      Dividing two rational expressions? Turn it into a multiplication problem by multiplying by the reciprocal of the second rational expression (the divisor)! This tutorial shows you how to do just that! Then, you'll see how to perform the multiplication and simplify to get you answer!