How Do You Take a Monomial to a Power?

How Do You Take a Monomial to a Power?

Note:

Got a monomial raised to a power? Want to simplify it? You could use the power of a product rule. You may also need the power of a power rule too. In this tutorial, you'll see how to simplify a monomial raise to a power.

Keywords:

  • problem
  • monomial
  • power of a power
  • raise an exponent to an exponent
  • exponent
  • power
  • multiply exponents
  • cube a monomial
  • simplify

Background Tutorials

  • Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).

      • What is a Variable?What is a Variable?

      What is a Variable?

      You can't do algebra without working with variables, but variables can be confusing. If you've ever wondered what variables are, then this tutorial is for you!

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

      • What's the Power of a Power Rule?What's the Power of a Power Rule?

      What's the Power of a Power Rule?

      Sometimes you'll see a number with an exponent raised to another exponent, and the first time you see it, you probably think it's a typo! But it's not a typo, it's a real thing, and there's a really nice trick for making it simpler that you'll see in the video.

      • What's the Power of a Product Rule?What's the Power of a Product Rule?

      What's the Power of a Product Rule?

      There's a great trick for raising a product of two number to an exponent, and this tutorial shows you exactly that trick works.

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

      • 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.

      • 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.

Further Exploration

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

  • 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.