SOLUTION: what is the expression in rational exponent form? 3sqrt5xy^2 1.)5xy2/3 2.)(5xy^2)1/3 3.)(5xy)2/3 4.)(5xy^2)2/3

Algebra ->  Radicals -> SOLUTION: what is the expression in rational exponent form? 3sqrt5xy^2 1.)5xy2/3 2.)(5xy^2)1/3 3.)(5xy)2/3 4.)(5xy^2)2/3      Log On


   

Question 1122673: what is the expression in rational exponent form?
3sqrt5xy^2
1.)5xy2/3
2.)(5xy^2)1/3
3.)(5xy)2/3
4.)(5xy^2)2/3
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Because all of the answers have a 3 in the denominator of the rational exponent, I'm going to assume that 3sqrt5xy^2 means . That is NOT the meaning of what you wrote. What you wrote means , something entirely different.

There are two ways to do this so that you will avoid confusion in the future:

cbrt(expression) means

sqrt[3](expression) means the same thing. In fact, this method can be used to indicate any index by putting the appropriate number in the square brackets.

Parentheses around EVERYTHING under the radical is essential. What you wrote could have meant: or or or even

As it stands, I'm not certain to which factors the 2 exponent applies. I'm going to assume that you mean:



Hence:






John

My calculator said it, I believe it, that settles it