How do you simplify the expression (9a^5)/(3a)?

1 Answer
Apr 4, 2018

The simplified expression is 3a^4.

Explanation:

Use this exponent rule:

x^color(red)m/x^color(blue)n=x^(color(red)m-color(blue)n)

First, split up the fraction into the number and letter parts, and compute each part separately:

color(white)=(9a^5)/(3a)

=(9*a^5)/(3*a)

=9/3*a^5/a

=3*a^5/a

=3*a^color(red)5/a^color(blue)1

=3*a^(color(red)5-color(blue)1)

=3*a^color(purple)4

=3a^color(purple)4

That's simplified all the way. Hope this helped!