SELECT 
  video_id, 
  product_id 
FROM 
  q_ab__video_gallery 
WHERE 
  product_id IN (
    4584, 5984, 10051, 10065, 10046, 10069, 
    10041, 10083, 10085
  )

Query time 0.00034

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "4.61"
    },
    "table": {
      "table_name": "q_ab__video_gallery",
      "access_type": "range",
      "possible_keys": [
        "product_id"
      ],
      "key": "product_id",
      "used_key_parts": [
        "product_id"
      ],
      "key_length": "3",
      "rows_examined_per_scan": 9,
      "rows_produced_per_join": 9,
      "filtered": "100.00",
      "using_index": true,
      "cost_info": {
        "read_cost": "2.82",
        "eval_cost": "1.80",
        "prefix_cost": "4.62",
        "data_read_per_join": "648"
      },
      "used_columns": [
        "video_id",
        "product_id"
      ],
      "attached_condition": "(`portal`.`q_ab__video_gallery`.`product_id` in (4584,5984,10051,10065,10046,10069,10041,10083,10085))"
    }
  }
}