Question

Write in simplest form
14a^2 / 24a
​

Answer 1

The simplest form of
`(14a^2)/(24a)` is
`\mathbf{(7a)/(12)}`

Explanation:

We need to write
`(14a^2)/(24a)` in simplest form.

We know the exponent rule:
`(a^m)/(a^n)=a^(m-n)`

Applying the rule:

`(14a^2)/(24a) \\=(14a^(2-1))/(24)\\Since \ 14 \ and \ 24 \ are \ divisible\ by \ 2 \\=(7a^1)/(12) \\=(7a)/(12)`

The simplest form of
`(14a^2)/(24a)` is
`\mathbf{(7a)/(12)}`