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?
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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.