Step by step
The question
Question: simplify 6y⁴ over 9y.
6y49y
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.
= 69 y4y
2 Cross out
We write the powers out.
y⁴ is 4 y's on top.
y is 1 y's on the bottom.
= 69 yyyyy
y/y is 1.
Each y on top crosses out one y on the bottom.
1 pair crosses out.
3 y's are left on top.
The rule: same letter, divide, take away the powers.
yy = 1
4 − 1 = 3
xaxb = xa − b
6/9 is 2/3.
So we get 2y³ over 3.
= 2y33
Let's look back.
First: numbers and letters apart.
Last: cross out.
Answer
= 2y33