Answer:
Ella prefiere que su hijo <u>VAYA</u> (ir) con sus amigos a la exposición.
Explanation:
This sentence is in the subjunctive mood because it expresses a preference: “Ella prefiere que” can be translated into “She prefers that” or “She wishes that.” In Spanish, the subjunctive is a mood used to express preferences, wishes, emotions, doubts, guesses, and possibilities.
Since the sentence is in the present subjunctive mood, one must fill in the blank with a subjunctive verb conjugated in the present for the noun “<u>su hijo</u>” (“his son”).
The verb “ir” is an irregular one, so it is conjugated the following way:
<em>Tú vayas</em>
<em>Yo vaya</em>
<em>Nosotros vayamos</em>
<em>Ellos vayan</em>
<em><u>Él</u></em><em>/Ella/eso </em><em><u>vaya</u></em>
The correct word to fill in the blank is: <em>VAYA</em>