Rational Exponents and Radicals

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Taught by TheMathDude
  • Currently 4.0/5 Stars.
10031 views | 1 rating
Part of video series
Meets NCTM Standards:
Lesson Description:

An explanation of what rational exponents mean and how they relate to radicals.

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Questions answered by this video:
  • What is a rational exponent and how is it the same as a radical?
  • How is 4^(1/2) the same as the square root of 4?
  • How do you rewrite a rational exponent as a radical expression?
  • What is an irrational number?
  • How do you simplify 27^(1/3) or the cube root of 27?
  • How do you simplify a number raised to a fractional or rational exponent if the numerator is not 1?
  • How do you rewrite 4^(4/3) as a radical expression?
  • How do you simplify the square root of 16/9?
  • How do you simplify the square root of 9*16?
  • How do you simplify the cube root of 8*64?
  • Staff Review

    • Currently 4.0/5 Stars.
    This lesson explains how a rational or fractional exponent is the same as a radical, how to move back and forth between rational exponents and radical expressions, and how to compute values / simplify these expressions. Many problems are shown and explained in this video.