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The fraction in an exponent takes the base to that radical power (1/2 is take the square root, 1/3 is take the third or "cube" root, 1/5 is take the fifth root, etc) and the numerator to that positive power (2 is squared, 3 is cubed, etc)

For example:

4 to the 1/2 power is the square root of 4, which is two.

4 to the 3/2 power is the square root of four, 2, taken to the third power, which is 8.

Sources: Background Knowledge

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Q: What does a fraction in an exponent do?
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