Final answer:
Parent 2 can produce 8 different genotype combinations of gametes in this cross.
Step-by-step explanation:
In a cross between two parents with genotypes aabbccdd x aabbccdd, parent 2 can produce 8 different genotype combinations of gametes. This is because each parent carries two alleles for each gene, resulting in 2^2 = 4 different combinations for each gene. Multiplying the combinations for all four genes gives us 4^4 = 256 different genotype combinations. However, since the parents have the same genotype, there are only 8 unique genotype combinations of gametes.