Whisk eggs, milk, vanilla, sugar, nutmeg, and salt together in a large bowl.
Heat a teaspoon of butter in a non-stick skillet over medium heat.
Dip each slice of brioche bread in the egg mixture and cook in the hot butter until golden, about 2 to 3 minutes per side. Add more butter for each batch.
Transfer french toast to a baking sheet.
Bake for 8-10 minutes.
While the french toast is baking. Heat up 1/4 cup butter in a sauce pan over medium-low heat, stirring constantly, until the butter is browned and toasty, 3 to 5 minutes.
To serve, drizzle each piece of french toast with browned butter, maple syrup and powdered sugar.