## Rational Exponents and Radicals

Rational Exponents and Radicals
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9052 views, 1 rating - 00:15:39
Part of video series Exponents
Taught by TheMathDude

### Meets NCTM Standards:

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An explanation of what rational exponents mean and how they relate to radicals.
• 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?
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.
• Currently 4.0/5 Stars.
Reviewed by MathVids Staff on July 22, 2010.