# Rational Exponents 5

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

In this lesson on Rational Exponents, the instructor demonstrates how to convert expressions with radicals and fractional exponents into single rational expressions. By adding and subtracting exponents with the same bases, the instructor simplifies the expressions and writes them as single radical expressions. Even when the bases are different, the instructor shows how to find a common denominator to combine the expressions into one radical expression. The lesson concludes with an example of combining three different radicals with different denominators by finding a common denominator and writing the expression as one big radical.

Lesson Description:

Part 5 shows examples working with radicals and fractional exponents.

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

Questions answered by this video:
• How do you write multiple radical expressions as a single radical expression?
• How do you write the cube root of y^2 * the 6th root of y as a single radical expression?
• How do you write the 5th root of x / the 6th root of x as a single radical expression?
• How do you write the cube root of 2 * the square root of 5 as a single radical expression?
• How can you simplify the fourth root of x^3 * the square root of y * the cube root of 2?
• #### Staff Review

• Currently 4.0/5 Stars.
In this lesson, you will learn how to rewrite several radical expressions that are being multiplied or divided as a single radical expression. Rational exponents are used as an intermediate step to putting the two expressions under the same radical. All steps are shown and explained in this lesson.