What are Rational Exponents?

What are Rational Exponents?

Note:

You can rewrite an expression with a rational exponent a few different ways. This can come in handy when your solving a problem involving rational exponents. This tutorial shows you how it works! You can even practice with examples!

Keywords:

  • definition
  • rational exponents
  • radicals

Background Tutorials

  • 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!

  • Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (-1)(-1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.

      • What's a Rational Number?What's a Rational Number?

      What's a Rational Number?

      There are lots of different kind of numbers that you should know about, and that includes rational numbers. Check out the tutorial!

  • Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.

      • What's a Real Number?What's a Real Number?

      What's a Real Number?

      Real numbers are numbers that can be found on the number line. This includes both the rational and irrational numbers. This tutorial explains real numbers and gives some great examples. Take a look!

  • 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!