You can apply for VAT exepmtion in the EU if the annual revenue of your small-medium sized enterprise (SME) selling goods and services to private individuals in other EU countries is maximum DKK 744,750.
You can also apply for VAT exemption via the optional scheme VAT exemption for small-medium sized enterprises (SME) in the EU.
When your VAT exepmtion has been accepted in an EU country, it means that you can sell goods and services without having to include VAT in your invoices. Also, you don't have to register, report and pay VAT in the relevant EU countries as long as your annual revenue doesn't exceed the VAT threshold.
When your applicaiton for VAT exemption in Denmark has been accepted, you will get a VAT exemption number which you have to state in your invoice as a replacement for your VAT/SE number.