JSFiddle - React, Tailwind, and code Playground

HTML

<div id="menu">
<ul>
    <li>
        <a href="index.htm">
            <img src="http://placehold.it/140x15" border="0" />
        </a>
    </li>
    <br />
   
    <li>
        <a href="TTUgalleries.html">
            <img src="http://placehold.it/140x15" border="0" />
        </a>
    </li>
    <br />
  
    <li>
        <a href="STATEgalleries.html">
            <img src="http://placehold.it/140x15" border="0" />
        </a>
    </li>
    <br />
    
    <li>
        <a nohref="#">
            <img src="http://placehold.it/140x15" border="0"  />
        </a>
                <ul class="sub-menu">
                    <li>
                        <a href="classes.html" id="demargpadLink"><img src="http://placehold.it/140x15" border="0" /></a>
                    </li>
                    <li>
                        <a href="mats.html"><img src="http://placehold.it/140x15" border="0" /></a>
                    </li>
                    </ul>
    </li>
    <br />
   
    <li>
        <a href="newsletter.html">
            <img src="http://placehold.it/140x15" border="0" />
        </a>
                <ul class="sub-menu">
                    <li></li>   
                </ul>
    </li>
   
    <br />
    <li>
        <a href="artiststatement.html">
            <img src="http://placehold.it/140x15" border="0" />
        </a>
    </li>
  
    <br />
    <li>
        <a href="contact.html">
            <img src="http://placehold.it/140x15" border="0" />
        </a>
</li>
    </ul>
</div>

CSS

#menu {
    float: left;
    position: relative;
    margin-left: 10px;
    margin-top: 10px;
    z-index:15;
    padding-bottom: 0px;

}
a {
    text-decoration: none;
    color: #838383;

}
a:hover {
    color: black;

}
#menu a {
    display: block;
    width: 140px;

}
#menu ul {
    list-style-type: none;
    padding-top: 10px;

}
#menu li {
    float: left;
    position: relative;
    margin-left: 1px;
    text-align: center;

}
#menu li ul.sub-menu {
    display: none;
    position: absolute;
    top: -14px;
    left: 139px;
    padding: 10px;
    z-index: 90;

}
#menu li ul.sub-menu li {
    text-align: left;

}
#menu li:hover ul.sub-menu {
    display: block;

}
#menu li:hover ul.sub-menu a {
    margin-top: 4px;
    margin-bottom: 0;
    padding: 0;

}