Respuesta :

Answer:

The simplest form of [tex]\frac{14a^2}{24a}[/tex]  is [tex]\mathbf{\frac{7a}{12}}[/tex]

Step-by-step explanation:

We need to write [tex]\frac{14a^2}{24a}[/tex] in simplest form.

We know the exponent rule: [tex]\frac{a^m}{a^n}=a^{m-n}[/tex]

Applying the rule:

[tex]\frac{14a^2}{24a} \\=\frac{14a^{2-1}}{24}\\Since \ 14 \ and \ 24 \ are \ divisible\ by \ 2 \\=\frac{7a^1}{12} \\=\frac{7a}{12}[/tex]

The simplest form of [tex]\frac{14a^2}{24a}[/tex]  is [tex]\mathbf{\frac{7a}{12}}[/tex]

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