Stuck here please help me out

Tell us what’s happening:
Describe your issue in detail here.

  **Your code so far**

<link href="https://fonts.googleapis.com/css?family=Lobster" rel="stylesheet" type="text/css">
<style>
.red-text {
  color: red;
}

h2 {
  font-family: Lobster, monospace;
}

p {
  font-size: 16px;
  font-family: monospace;
}
</style>

<h2 class="red-text">CatPhotoApp</h2>
<main>
<p class="red-text">Click here to view more <a href="#">cat photos</a>.</p>

<a href="#"><img src="https://cdn.freecodecamp.org/curriculum/cat-photo-app/relaxing-cat.jpg" alt="A cute orange cat lying on its back."></a>

<div>
  <p>Things cats love:</p>
  <ul>
    <li>cat nip</li>
    <li>laser pointers</li>
    <li>lasagna</li>
  </ul>
  <p>Top 3 things cats hate:</p>
  <ol>
    <li>flea treatment</li>
    <li>thunder</li>
    <li>other cats</li>
  </ol>
</div>

<form action="https://freecatphotoapp.com/submit-cat-photo">
  <label><input type="radio" name="indoor-outdoor" checked> Indoor</label>
  <label><input type="radio" name="indoor-outdoor"> Outdoor</label><br>
  <label><input type="checkbox" name="personality" checked> Loving</label>
  <label><input type="checkbox" name="personality"> Lazy</label>
  <label><input type="checkbox" name="personality"> Energetic</label><br>
  <input type="text" placeholder="cat photo URL" required>
  <button type="submit">Submit</button>
</form>
</main>

<style><style>
smaller-image.{
  width: 500px;
}
</style>

  **Your browser information:**

User Agent is: Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/99.0.4844.82 Safari/537.36

Challenge: Size Your Images

Link to the challenge:

First of all, what is this:

<style><style>
smaller-image.{
  width: 500px;
}
</style>

Why are there two opening elements and why not put this up with the other styles anyway?

And that is not how you target a class.

And you need to apply the class to the image.

really need help can you please explain a bit of this aspect to me ?

Which aspect? I pointed out three issues.

.smaller-image.{ width: 100px; }

i tried this and it seems am still not getting it

You’re still not selecting that class correctly. I would google it and find it here or I would look back at the lesson that taught this.

We can’t remember all this stuff. Being able to find stuff is an important skill.