# Rational Exponents 1

Taught by YourMathGal
• Currently 4.0/5 Stars.
6493 views | 1 rating
Part of video series
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Lesson Summary:

In this lesson on Rational Exponents 1, we learn about fractional exponents and how to define them. Through examples involving square roots and cube roots, we see how fractional exponents work and how they relate to radicals. We also learn how to simplify expressions with fractional exponents and real numbers. This is part one of a series on rational exponents, setting the foundation for future lessons on more complex problems involving fractional exponents.

Lesson Description:

Part 1 covers the meaning of a fractional exponent when the numerator is 1, and provides examples.

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

• What is a rational exponent?
• What do you do if there is a fraction in the exponent?
• What does 5^1/2 mean?
• Why does 5^1/2 * 5^1/2 = 5?
• Why does 5^1/2 equal the square root of 5?
• Why is an exponent of 1/2 the same as a square root?
• What does the 1/3 power mean?
• Why is 10^1/3 the same as the cube root of 10?
• What is 16^1/2?
• What is 64^1/3?
• What is the definition of b^1/n?
• Why does b^1/n equal the nth root of b?
• What does 81^1/2 equal?
• What is 16^-1/2?
• What is -27^1/3?
• #### Staff Review

• Currently 4.0/5 Stars.
This lesson is a great explanation of why an exponent of 1/2 means the same thing as a square root. This lesson really does a good job of explaining the concept of fractional exponents and how to use them. Several example calculations with fractional exponents are shown and explained in this tutorial.