Respuesta :

Answer:

C 9 *x^2 y^ 4 y^ 1/2

Step-by-step explanation:

(81x^4y^9)^1/2

We know that (ab)^1/2 = a^1/2  *b^1/2

(81) ^1/2 * (x^4) ^1/2  * (y^9)^1/2

We know that a^b^c = a^ (b*c)

(81) ^1/2 * (x^(4*1/2)   * (y^(9*1/2)

9 *x^2 y^ 9/2

We know that y^9/2 = y^4 y^1/2

9 *x^2 y^ 4 y^ 1/2