# Rational Exponents 4

Taught by YourMathGal
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Part of video series
Meets NCTM Standards:
Errors in this video:

Around the 2:30 mark of the video, it says to do 1/4 - 1/2 + 2/3, but because x^2/3 is in the denominator, it should be subtracted, so the calculation should be 1/4 - 1/2 - 2/3 or x^(-11/12) = 1/x^11/12.

Lesson Summary:

In this lesson on rational exponents, we are given examples of working with radicals and fractional exponents. We use the properties of exponents and simplify expressions by only writing with positive exponents. We also learn to change from radical notation to rational to simplify each radical. By the end of the lesson, we are able to write solutions in both exponential and radical form.

Lesson Description:

Part 4 shows examples working with radicals and fractional exponents.

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

• How do you raise algebraic expressions to rational or fractional exponents?
• How do you simplify (27u^3)^2/3?
• How do you simplify (x^1/4 * x^-1/2)/(x^2/3)?
• How do you write a variable expression with a fractional exponent in radical form?
• How do you rewrite x^5/12 in radical form?
• How do you simplify (a^-2b^3)^1/8 / (a^-3b)^-1/4?
• How do you get rid of negative exponents?
• How do you change from radical notation to rational exponents?
• How do you simplify and write the 18th root of a^3 using rational exponents?
• How can you simplify the fourth root of 36?
• How do you simplify the 8th root of (x + 2)^4?
• How do you simplify the 12th root of a^9b^8?
• #### Staff Review

• Currently 4.0/5 Stars.
This lesson shows some more example problems raising numbers and variables to rational exponents. The expressions raised to fractional exponents are more complicated in this video. Rules of exponents are used to simplify these complex expressions. Simplifying radical expressions is also explained.