Simplify the expression.

Question

index of 3√14/ index of 3 √7x²y 

Answer 1

(14)^1/3/(7x²y)^1/3 = (7^1/3)(2^1/3)/[(7)^1/3(x²y)^1/3]

 

                        = 2^1/3/(x²y)^1/3

 

Multiply the numerator and denominator by (xy²)^1/3 to get:

 

   (2x²y)^1/3/(x³y³)^1/3 = (2x²y)^1/3/(xy)