where in a typical eukaryotic cell would you expect to find genes?

In a typical eukaryotic cell, genes are found within the DNA located in the nucleus. Specifically, the genetic material is organized into chromosomes inside the nucleus, where the DNA molecules contain the genes

. More precisely:

• The nucleus houses the cell's DNA in the form of chromatin, which is DNA wrapped around histone proteins

• Genes are segments of this DNA within the chromosomes.
• The nucleolus, a structure within the nucleus, is involved in ribosomal RNA synthesis but does not contain genes for most proteins

• Gene transcription (the process of reading genes to make RNA) occurs in the nucleus, where the DNA is packaged into chromatin structures

Therefore, the primary location to expect genes in a typical eukaryotic cell is the DNA within the nucleus, organized as chromatin in chromosomes.