SOLUTION: while the radical symbol is widely used, converting to rational exponents has its advantages. Explain an advantage of rational exponents over the radical sign. Include in your ans

Question 84138: while the radical symbol is widely used, converting to rational exponents has its advantages. 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.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Lets say you had

how would you simplify this? Well since we have a square root and a cube root, we cannot mix the two expressions. In order to simplify, you would have to raise everything to the 6th power like this:

and simplify

But simplification gets tricky. However, since this expression is true

We'll have an easier way to simplify. So we can let become

and become

. So we'll get:

.

This is just one of the many examples where exponent notation is easier to use.

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