## anonymous one year ago What is the equivalent radical expression for the exponential expression below? 5^1/2

1. anonymous

|dw:1436184079378:dw|

2. anonymous

?

3. UsukiDoll

based on what @peachpi wrote... let x = 5 m = 1 and n =2.. plug those values into the right hand side..

4. UsukiDoll

when you start with an exponential expression and you want to convert to a radical there is a rule (though I forgot what it's called and latex is horrible for me on this one, so I'll borrow @peachpi 's drawing) so, if you are given something in exponential form you use that rule to transform it into a radical form similarly if you're given something in radical form, you use that rule to convert it into an exponential for, .

5. UsukiDoll

|dw:1436184349117:dw| since you are given $\LARGE 5^{\frac{1}{2}}$ let x =5, m =1, and n = 2. Now plug those values into the radical version.

6. anonymous

basically the numerator on the fraction stays where it is, and the denominator becomes the index of the radical

7. anonymous

ok

8. UsukiDoll

letting x = 5, m =1, and n = 2 we place these values in here |dw:1436184951464:dw|

9. UsukiDoll

|dw:1436184976933:dw|

10. UsukiDoll

However, since n = 2 we're not required to write that number... should you have n = 3,4,5... then we have to write it down because that indicates cube root of x^m, fourth root of x^m, fifth root of x^m.

11. anonymous

i got it lol