help with exponential form

Question

write in exponential form and simplify

 

1. ₃√x^5y^5

 

2.  ₃√x^2y

 

3.  ₃√a • ₅√a

 

 

thanks

Answer 1

Given there are no parentheses, I hope I am understanding the problem correctly!

 

1. ₃√((x⁵)(y⁵)) = x^5/3• y^5/3

2. ₃√(x^2y) = x^2y/3

3. ₃√a • 5√a = a^1/3 • a^{1/5 =} a^{1/3 + 1/5} = a^8/15

 

Hope that helps!

Answer 2

1.

   ³√(X^5 Y ^5 ) = X Y ³√(X^2 Y^2) 

 

 

2. Can not be simplified

 

 

 

3 . 15^√a