Steply

Simplify 6y^4 / 9y

Step by step, with the reason for every step · Exponent rules · Algebra 1

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

Your turn

Try this one yourself, then check:

5y49y
Show the answer
5y39

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