# Rational Exponents 3

Taught by YourMathGal
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Part of video series
Meets NCTM Standards:
Lesson Summary:

In this lesson on Rational Exponents 3, the instructor provides examples of problems involving radicals and fractional exponents. They also review some basic laws of exponents, including a little-known one about negative exponents. The problems presented are meant to be solved by rewriting the expressions in radical notation and simplifying them as much as possible. The lesson concludes with additional problems using the properties of exponents to simplify and write expressions with positive exponents.

Lesson Description:

Part 3 shows examples working with radicals and fractional exponents.

More free YouTube videos by Julie Harland are organized at http://yourmathgal.com

• Where can I find example problems for rational or fractional exponents?
• What is -4^5/2?
• What does (-36)^1/2 equal?
• How do you find (49/25)^-3/2?
• What does (2x)^3/5 equal?
• What is the difference between (2x)^3/5 and 2x^3/5?
• How do you rewrite fractional exponent expressions in radical notation?
• What does (-27)^-2/3 equal?
• How do you rewrite x^-1/6 in radical form?
• How can you simplify 4/(5x^-1/2)?
• What does -4^-3/2 equal?
• How can you simplify (2x - 3)^2/3?
• How do you simplify a binomial to a fractional exponent?
• How do you multiply and divide variables with fractional exponents?
• What does x^3/4 * x^-7/4 equal?
• What does (x^3/4)/(x^-1/6) equal?
• #### Staff Review

• Currently 4.0/5 Stars.
This lesson goes through a bunch of example problems of numbers to rational exponents. All steps are shown and explained for each problem. This is a great place to practice and make sure that you understand the concept. To learn how to do these problems or why this works, check out the earlier videos in the series. this video also begins introducing variables into this concept. Adding and subtracting fractional exponents is also covered as variables with fractional exponents are multiplied and divided at the end of this lesson.