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

  • Know and apply the properties of integer exponents to generate equivalent numerical expressions.

      • 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!

  • Interpret parts of an expression, such as terms, factors, and coefficients.

      • 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.

      • 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!

  • Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

      • 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.

  • Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions.

      • 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

  • Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide 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!

      • 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!