Route post ajax Laravel

Galera I have a search field for ajax in laravel that works normally local but on the server it is returning error. When the search route (post -> link ) is triggered by the keyup event of error 301 Moved Permanently and then again (mysteriously) another route (get - > link ) that consequently returns error 404 not found because this second route does not really exist.

This error only occurs through ajax, when I enter and the form is sent in a conventional way the route is found and the results are displayed correctly.

Has anyone had problems like this? Can anyone tell me if this is a problem in the codes or some server configuration?

This is the route that is in routes.php

Route::post('/prefeitura/search', 'Admin\PrefeituraController@search');

This is the .htaccess that is in the laravel root folder (files in the public folder have also been moved to the laravel root folder)

<IfModule mod_rewrite.c>
    <IfModule mod_negotiation.c>
        Options -MultiViews
    </IfModule>

    RewriteEngine On

    # Redirect Trailing Slashes If Not A Folder...
    RewriteCond %{REQUEST_FILENAME} !-d
    RewriteRule ^(.*)/$ /$1 [L,R=301]

    # Handle Front Controller...
    RewriteCond %{REQUEST_FILENAME} !-d
    RewriteCond %{REQUEST_FILENAME} !-f
    RewriteRule ^ index.php [L]
</IfModule>

This is the ajax function that does the search and displays the found data

$("#searchPrefeitura").on('keyup',function(){

    $.ajax({
        url: 'http://site.com.br/cidadedigital/admin/prefeitura/search/',
        type: 'POST',
        dataType    : 'html',
        encode      : true,
        data        :{exp:$(this).val(), _token: $("#_tokenSearch").val()},
        beforeSend  : function(){
            $(".spinner").removeClass('hide');
        },
        success     : function(data){
            $("#listPrefeitura").html(data);
        },
        complete    : function(){       
            $(".spinner").addClass('hide');
            $("#limpabusca").fadeIn();
        },

        error   :   function(data)
        {
            //console.log(data.responseText);
        }
    });

});