Preheat your oven to 350°F (175°C) and grease and flour an 8x8 inch baking pan. This prepares the pan to prevent sticking and ensures even baking for your brownies.

In a microwave-safe bowl, melt the unsalted butter, then whisk in the granulated sugar until combined. This creates a smooth base for the brownie batter and ensures the sugar dissolves properly for a fudgy texture.

Beat in the eggs one at a time, followed by the vanilla extract, mixing until just combined. Overmixing can lead to tough brownies, so be gentle to maintain a tender crumb.

In a separate bowl, whisk together the all-purpose flour, unsweetened cocoa powder, and salt. This ensures all dry ingredients are evenly distributed before adding them to the wet mixture, preventing lumps.

Gradually add the dry ingredients to the wet ingredients, mixing until just combined, then fold in the chocolate chips. Be careful not to overmix, as this can affect the texture of the brownies.

Pour the batter into the prepared baking pan and bake for 25-30 minutes, or until a toothpick inserted into the center comes out with moist crumbs. This ensures the brownies are fully cooked through but still retain their gooey fudgy center.

Allow the brownies to cool completely in the pan before slicing and serving. Cooling is crucial for the brownies to set properly, making them easier to cut and preventing them from falling apart, ensuring perfect fudgy squares.