Simplifying given expression

• December 4th 2009, 03:49 PM
leoslick
Simplifying given expression
How would you go about solving this?

(3x^1/4)^3
__________

x^1/12

Sorry it doesnt look nice. :/
• December 4th 2009, 04:17 PM
skeeter
Quote:

Originally Posted by leoslick
How would you go about solving this?

(3x^1/4)^3
__________

x^1/12

Sorry it doesnt look nice. :/

not solving, simplifying ...

$\frac{(3x^{\frac{1}{4}})^3}{x^{\frac{1}{12}}}$

$\frac{27x^{\frac{3}{4}}}{x^{\frac{1}{12}}}$

$\frac{27x^{\frac{9}{12}}}{x^{\frac{1}{12}}}$

$27x^{\frac{8}{12}}$

$27x^{\frac{2}{3}}$