What's the Power of a Quotient Rule?

What's the Power of a Quotient Rule?

Note:

Got a fraction raised to a power? Learn how to split that exponent and put it in the numerator and denominator of your fraction using the power of a quotient rule. This tutorial shows you how!

Keywords:

  • definition
  • rule
  • quotient
  • power
  • exponent
  • square
  • monomial
  • square monomial
  • divide
  • fraction
  • division
  • power of quotient

Background Tutorials

  • Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b.

      • How Do You Multiply Fractions?How Do You Multiply Fractions?

      How Do You Multiply Fractions?

      Working with fractions can be intimidating, but if you arm yourself with the right tools, you'll find that working with fractions is no harder than working with basic numbers. In this tutorial you'll see the process for multiplying 3 very simple fractions. Enjoy!

  • Write and evaluate numerical expressions involving whole-number exponents.

      • How Do You Square a Number?How Do You Square a Number?

      How Do You Square a Number?

      Want to square a number? Just take the number and multiply it by itself! If you square an integer, you get a perfect square! Check out squaring in this tutorial!

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

      • What are Exponents?What are Exponents?

      What are Exponents?

      Did you know that another word for 'exponent' is 'power'? To learn the meaning of these words and to see some special cases involving exponents, check out this tutorial!

  • 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.

      • 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.

      • How Do You Take the Power of a Monomial?How Do You Take the Power of a Monomial?

      How Do You Take the Power of a Monomial?

      Taking a monomial to a power isn't so hard, especially if you watch this tutorial about the power of a monomial rule!

Further Exploration

  • 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.

  • Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) + (r(x)/b(x)), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system.