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

1. ## 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.

2. 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

3. 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!

4. 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!

5. 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