1. ## [SOLVED]Quick question about exponents

Hey guys, I got a quick question, its not technically Calculus question but that my area of study currently and ill use Calculus to explain what I'm trying to ask!

I'm doing integrals at the moment and my program at my school we are not allowed to use calculators of any type.

My question is this (might have to explain some):

I know that $\displaystyle \sqrt{x}$ is the same as $\displaystyle x^\fract{1/2}$, now when you integrate $\displaystyle x^{1/2}$ you get $\displaystyle \fract{2/3}*x^\fract{3/2}$. So, my question is how, by hand, can I do the math on say $\displaystyle 9^{3/2}$? Any trick(s) to doing these root/fractional exponents w/out calculator?

Thanks for any help guys.

2. Originally Posted by SlapnutsGT
Hey guys, I got a quick question, its not technically Calculus question but that my area of study currently and ill use Calculus to explain what I'm trying to ask!

I'm doing integrals at the moment and my program at my school we are not allowed to use calculators of any type.

My question is this (might have to explain some):

I know that $\displaystyle \sqrt{x}$ is the same as $\displaystyle x^\fract{1/2}$, now when you integrate $\displaystyle x^{1/2}$ you get $\displaystyle \fract{2/3}*x^\fract{3/2}$. So, my question is how, by hand, can I do the math on say $\displaystyle 9^{3/2}$? Any trick(s) to doing these root/fractional exponents w/out calculator?

Thanks for any help guys.
$\displaystyle \displaystyle 9^{\frac{3}{2}}=\left(9^{\frac{1}{2}}\right)^3 = 3^3 = 27$

Is this what you mean?

3. Exactly!

Thanks, I knew the answer but for the life of me couldn't figure it out.