# solving for powers

• Jan 13th 2010, 12:40 PM
akela928
solving for powers
How do you solve the followwing:

16 to the power of 3over2
• Jan 13th 2010, 12:46 PM
pomp
Quote:

Originally Posted by akela928
How do you solve the followwing:

16 to the power of 3over2

$x^{a/b} = (x^{1/b})^a$

This is all you need.
• Jan 13th 2010, 12:53 PM
akela928
Quote:

Originally Posted by pomp
$x^{a/b} = (x^{1/b})^a$

This is all you need.

would that mean then that the answer is 8 to the power of 3, thus being 64
• Jan 13th 2010, 12:56 PM
pomp
Quote:

Originally Posted by akela928
would that mean then that the answer is 8 to the power of 3, thus being 64

I'm guessing that's a typo, and you meant to say ''that the answer is 4 to the power 3, thus being 64"

That's correct!

You could have also have done:

$16^{3/2} = (16^3)^{1/2} = 4096^{1/2} = 64$

But the other way was easier because it gave nicer numbers to work with.
• Jan 14th 2010, 07:27 AM
HallsofIvy
No longer needed