How do you solve the followwing:
16 to the power of 3over2
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:
$\displaystyle 16^{3/2} = (16^3)^{1/2} = 4096^{1/2} = 64$
But the other way was easier because it gave nicer numbers to work with.