Question

Use properties of rational exponents to simplify the expression. Assume that all variables represent positive numbers. Superscript 1 divided by 3.

Answer 1

Hi, your question was incomplete hence I have attached the complete version of the question below.

Answer:

5x^3 y^2

Step-by-step explanation:

Using the property of the product of the exponents on the base and removing the parentheses,

(125x^9y^6)^(1/3) = (125)^(1/3) * (x^9)^(1/3) * (y^6)^(1/3)

= (125)^(1/3) * (x)^9*(1/3) * (y)^6*(1/3)

= 5 * (x)^3 * (y)^2                                                    

= 5 x^3 y^2

hence the required result is 5 x^3 y^2