One way would be to show him constantly in deep thought, scribbling equations on a board or parchment. He could be so absorbed in his scientific work that he sometimes forgets about the more physical aspects of Saiyan life, like fighting and training. But his scientific discoveries could end up being more valuable to the Saiyans in the long run. For instance, he could develop a shield technology that protects the Saiyans from powerful energy blasts. And this could make him a hero in a different way than the traditional Saiyan warriors.
Perhaps the fanfic could revolve around Bardock's scientific exploration of other planets. As a brilliant scientist, he could be leading expeditions to study different ecosystems and civilizations. He might make a discovery that changes the Saiyans' view of the universe. For example, he could find a planet with a technology far more advanced than their own, which could either inspire them to learn and grow or make them feel threatened and trigger a war.
A 'Bardock meets Goku' fanfic could explore their relationship in a very emotional way. Goku, who has grown up without a father, might be initially hesitant but then warm up to Bardock. Bardock, on the other hand, could be a bit overbearing at first, trying to make up for lost time. As they spend more time together, they could develop a deep bond, with Bardock becoming a mentor figure to Goku, teaching him things about combat and the Saiyan culture that he didn't know before. This would strengthen their relationship and make it more complex and multi - faceted.
They would first have to learn about the new technology. For instance, if there are advanced ships or weapons, they need to figure out how to operate them. This could involve a lot of trial and error.
If Bardock arrives on Namek in the fanfic, it could also change the fate of the Dragon Balls. Instead of being just a tool for Frieza or the Z - fighters to use, Bardock could have a different vision for them. He might see them as a way to not only save Namek but also to restore the Saiyan race. This would open up a whole new set of plotlines and possibilities, as his motives would be different from the other characters who have interacted with the Dragon Balls in the original story.
Bardock's presence would likely add a new level of intensity. His Saiyan warrior spirit would inspire the other Universe 7 members. He might be more aggressive in his fighting style compared to some of the others, which could either lead to quick victories or put him in risky situations.
Bardock would probably be initially cautious around the Fairy Tail characters. Given his Saiyan nature, he is used to a more cut - throat and survival - based environment. But as he gets to know them, he would start to respect their loyalty and sense of family. For example, he might be impressed by how the guild members always have each other's backs, much like how Saiyans rely on their comrades in battle.
At first, it might be tense. Bardock is a hardened Saiyan warrior from a different era, and Goku has grown up on Earth with a very different set of values. But as they start to communicate, they would find common ground in their Saiyan blood. Goku's pure - heartedness could gradually win over Bardock, and Bardock's strength and pride could earn Goku's respect.
Bardock may start as a typical Saiyan, focused mainly on fighting and power. But as he faces the threat to Planet Vegeta, he could start to develop a sense of responsibility. He realizes that there's more at stake than just his own glory in battle.
They would face the challenge of adapting to Earth's environment. The gravity, atmosphere, and climate are different from what they are used to on their home planet. For example, if the Saiyan planet has a different gravitational pull, they might find it difficult to move around easily on Earth at first.
Naruto would likely become more studious. Instead of just relying on his natural energy and willpower, he'd have to spend time in labs and studying books. His impulsiveness might decrease as he learns the importance of precision in scientific work.