# a fraction w/denominator that has a fraction power?

• Aug 31st 2007, 07:30 PM
deathtolife04
a fraction w/denominator that has a fraction power?
How in the world would I do a problem like this?!

it's:

18
_______
(9^(3/2)

In case you're not sure if you read that right or not, it would be read: 18 over 9 to the 3/2 power.
• Aug 31st 2007, 07:32 PM
Jhevon
Quote:

Originally Posted by deathtolife04
How in the world would I do a problem like this?!

it's:

18
_______
(9^(3/2)

In case you're not sure if you read that right or not, it would be read: 18 over 9 to the 3/2 power.

what are you required to do? simplify?

if so, change 18 to 2*9, pull the 2 out in front, and then see if you can take it from there
• Aug 31st 2007, 07:35 PM
deathtolife04
Quote:

Originally Posted by Jhevon
what are you required to do? simplify?

if so, change 18 to 2*9, pull the 2 out in front, and then see if you can take it from there

oooh ok so wouldn't it just be 2/3?
that was easier than it looked!
• Aug 31st 2007, 07:37 PM
Jhevon
Quote:

Originally Posted by deathtolife04
oooh ok so wouldn't it just be 2/3?
that was easier than it looked!

yes it was, good job! :)
• Aug 31st 2007, 11:05 PM
topsquark
Quote:

Originally Posted by deathtolife04
How in the world would I do a problem like this?!

it's:

18
_______
(9^(3/2)

In case you're not sure if you read that right or not, it would be read: 18 over 9 to the 3/2 power.

$\frac{18}{9^{3/2}}$

Or you could simply note that:
$9^{3/2} = \left ( 9^{1/2} \right ) ^3 = 3^3 = 27$

So
$\frac{18}{9^{3/2}} = \frac{18}{27} = \frac{2}{3}$

-Dan