*6 YEAR TIME SKIP*
Kakarot is six, while Vegeta is seven and a half.
...
It was all over the news that the Vegetan Royal Family would be visiting the planet's top school, Sormakat Training School for Growing Saiyans. Saiyan children with a power level over 1000 attended to prove that they were strong enough to fight when the "Rise against Frieza" came. All of the saiyans, powers high and low, were buzzing with excitement to at least get a glimpse of the visiting royalty. They only ever saw the ruling class on occasion, maybe for a festival of some sort.
On that morning, the two princes were sparring inside the Gravitron Chamber. Both Vegeta and Kakarot were looking forward to the visit. Vegeta just wanted to show off his power and status while Kakarot just wanted to make a friend. He loved spending time with his brother however he felt that he needed to interact with people in the outside world. But at the moment, sparring was his top priority.
Vegeta sent a ki ball flying towards Kakarot, who dodged it just in time. Snarling, the six-year-old charged towards Vegeta, delivering a knee in his gut. The older prince gasped at the sudden contact, blood escaping his lips; his eyes wide open. The younger prince back-flipped away from him and dropped into a fighting stance. A smirk appeared in his face.
"Is that all you've got, Vegeta?" Kakarot said. "What happened to the 'might of the prince'?" The young prince's eyes burned with desire, confidence and an urge to win.
Said prince rose from the ground, staggering as he did. "I-I'm not finished yet, K-Kakarot," he replied. Vegeta stopped to catch his breath. He had noticed that his sibling's power had increased from the last time they had sparred. "You've gotten stronger, Kakarot." A smirk of his own crept onto his facial features. "But not enough."
The heir to the throne smiled (if that is possible) and stretched his arms. "Okay Kakarot. We shall proceed with this battle after we return from the visit." The prince slipped on his royal armour, boots and gloves and buttoned his tangerine-shaded cape to his shoulders. "Only then will you reveal your true power to me, brother."
Kakarot nodded and did the same, only his royal armour consisted of a Rosso Corsa red jumpsuit with a Shamrock green cape instead of Vegeta's navy blue and tangerine colours. He wanted to concentrate on finding a new companion to talk to and to play with. Maybe he could ask his mother if she had any nieces or nephews, since his father had no siblings. He followed his older brother out of the Chamber and waited for their royal carriage to pick them up.
...
Twelve-year-old Raditz sat in his room watching the news, awaiting the time he would go back to school, the reason he did not know why. The teachers had said it was a surprise, telling them to dress in their uniform of a short black jumpsuit, obsidian armour and black boots and gloves. He was bored, sick and tired. He had fetched some water from the river for his mother so she could clean and cook, and he had attempted to feed his six-year-old sister Katya who ended up spitting contents of her meal into his face.
Raditz sighed and flopped onto his bed. Kami, if anything interesting can happen, he pleaded to no one, please happen now.
As if on cue, the news report switched to a video of the Royal Family walking around in their gardens. The news reporter, a man, started to speak.
"Their Majesties the King and Queen will be visiting the Sormakat Training School for Growing Saiyans in Tamaron City at noon today. However they will not be coming alone. Their Royal Highnesses Prince Vegeta and Prince Kakarot will be joining them on the visit. They will be visiting for the whole day to experience what it is like inside the city's best school..." Whatever the reporter said next was a mystery to him.