Step by step
The question
Question: simplify y⁶ over y².
y6y2
1 Numbers and letters apart
We split it: numbers over numbers, and each letter over the same letter.
Fractions next to each other mean times.
= y6y2
2 Cross out
We write the powers out.
y⁶ is 6 y's on top.
y² is 2 y's on the bottom.
= yyyyyyyy
y/y is 1.
Each y on top crosses out one y on the bottom.
2 pairs cross out.
4 y's are left on top.
The rule: same letter, divide, take away the powers.
yy = 1
6 − 2 = 4
xaxb = xa − b
So we get y⁴.
= y4
Let's look back.
First: numbers and letters apart.
Last: cross out.
Answer
= y4