How do you simplify the expression $\frac{9 a^{5}}{3 a}$ $(9a^5)/(3a)$ ?

Question

1979 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-04T18:12:49

The simplified expression is $3 a^{4}$ $3a^4$ .

Use this exponent rule:

$\frac{x^{m}}{x^{n}} = x^{m - n}$ $x^color(red)m/x^color(blue)n=x^(color(red)m-color(blue)n)$

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

$= \frac{9 a^{5}}{3 a}$ $color(white)=(9a^5)/(3a)$

$= \frac{9 \cdot a^{5}}{3 \cdot a}$ $=(9*a^5)/(3*a)$

$= \frac{9}{3} \cdot \frac{a^{5}}{a}$ $=9/3*a^5/a$

$= 3 \cdot \frac{a^{5}}{a}$ $=3*a^5/a$

$= 3 \cdot \frac{a^{5}}{a^{1}}$ $=3*a^color(red)5/a^color(blue)1$

$= 3 \cdot a^{5 - 1}$ $=3*a^(color(red)5-color(blue)1)$

$= 3 \cdot a^{4}$ $=3*a^color(purple)4$

$= 3 a^{4}$ $=3a^color(purple)4$

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

How do you simplify the expression 9a53a(9a^5)/(3a)?