Steply

Simplify y^6 / y^2

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

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

Your turn

Try this one yourself, then check:

y6y5
Show the answer
y

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