SOLUTION: Explain an advantage of rational exponents over the radical sign. Include in your answer an example of an equation easier to solve as a rational exponent rather then a radical sig

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Question 39372This question is from textbook College Algebra
: Explain an advantage of rational exponents over the radical sign. Include in your answer an example of an equation easier to solve as a rational exponent rather then a radical sign.I am having a hard time coming up with an example for this problem.
This question is from textbook College Algebra

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
The advantage would be that if the number has a radical sign, you would have to convert in order to solve faster. Also, its a faster way to multiply or add exponents.
sqrt%282%29%2Fsqrt%284%29
sqrt%282%2F4%29
sqrt%281%2F2%29
1%2Fsqrt%282%29
sqrt%282%29%2F2
Faster way:
2%5E%281%2F2%29%2F4%5E%281%2F2%29
2%5E%281%2F2%29%2F2%5E%281%29
2%5E%281%2F2-1%29
2%5E%28-1%2F2%29 or 1%2F2%5E%281%2F2%29 or 2%5E%281%2F2%29%2F2