Does $\displaystyle 8^{\frac{1}{2}}=\sqrt{8}$ or $\displaystyle \frac{1}{8}$?

Same with a negative fraction.

Any tips?

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- Jun 6th 2010, 06:05 AMMukilabPowers
Does $\displaystyle 8^{\frac{1}{2}}=\sqrt{8}$ or $\displaystyle \frac{1}{8}$?

Same with a negative fraction.

Any tips? - Jun 6th 2010, 06:11 AMJoel
anything to the power of 1/2 is the square root of that base.

8^1/2 = square root of 8

anyting to the power of - means 1 over to that power

8^-1/2 = 1/ 8^2 = 1/64 - Jun 6th 2010, 06:14 AMMukilab
- Jun 6th 2010, 06:15 AMMukilab
Wait, lets say I get 8^-2/3

would it be

(2/8)^3??? - Jun 6th 2010, 06:55 AMZaph