Question

I got the answer as letter C, can someone check me to make sure that is correct? Thank you in advance.

Answer 1

Answer:

The x's cancel  so definitely is choice C:  1/9

Step-by-step explanation:

We have   root( 1/(x^2) )  *  root ((x^2) / 81)

simplifying this we get as follows:

root( 1/(x^2) )  *  root ((x^2) / 81)

= $\sqrt{(1/x^2 )}$  * $\sqrt{(x^2)/81}$

=  ( 1/x )   *  (x/9)

the x's cancel

= 1/9

choice C   1/9